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Finding the Fourth Proportional to 705,314.54, 973,632 and 476,182.18

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Solution

The fourth proportional to 705,314.54, 973,632 and 476,182.18 is: 657,332.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    705,314.54 : 973,632 = 476,182.18 : x
  2. Step 2: Convert to fraction form
    705,314.54/973,632 = 476,182.18/x
  3. Step 3: Cross multiply
    705,314.54x = 973,632 × 476,182.18
  4. Step 4: Simplify right side
    705,314.54x = 463,626,208,277.76
  5. Step 5: Solve for x
    x = 463,626,208,277.76/705,314.54
  6. Step 6: Final answer
    x = 657,332.55

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.