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Finding the Fourth Proportional to 472,132.23, 708,197.46 and 147,945.15

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Solution

The fourth proportional to 472,132.23, 708,197.46 and 147,945.15 is: 221,917.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,132.23 : 708,197.46 = 147,945.15 : x
  2. Step 2: Convert to fraction form
    472,132.23/708,197.46 = 147,945.15/x
  3. Step 3: Cross multiply
    472,132.23x = 708,197.46 × 147,945.15
  4. Step 4: Simplify right side
    472,132.23x = 104,774,379,449.32
  5. Step 5: Solve for x
    x = 104,774,379,449.32/472,132.23
  6. Step 6: Final answer
    x = 221,917.45

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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.