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Finding the Fourth Proportional to 312,642.40, 468,963.60 and 146,754.40

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Solution

The fourth proportional to 312,642.40, 468,963.60 and 146,754.40 is: 220,131.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,642.40 : 468,963.60 = 146,754.40 : x
  2. Step 2: Convert to fraction form
    312,642.40/468,963.60 = 146,754.40/x
  3. Step 3: Cross multiply
    312,642.40x = 468,963.60 × 146,754.40
  4. Step 4: Simplify right side
    312,642.40x = 68,822,471,739.84
  5. Step 5: Solve for x
    x = 68,822,471,739.84/312,642.40
  6. Step 6: Final answer
    x = 220,131.60

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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.