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Finding the Fourth Proportional to 410,062.50, 615,367.13 and 157,551.48

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Solution

The fourth proportional to 410,062.50, 615,367.13 and 157,551.48 is: 236,432.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,062.50 : 615,367.13 = 157,551.48 : x
  2. Step 2: Convert to fraction form
    410,062.50/615,367.13 = 157,551.48/x
  3. Step 3: Cross multiply
    410,062.50x = 615,367.13 × 157,551.48
  4. Step 4: Simplify right side
    410,062.50x = 96,952,001,287.10
  5. Step 5: Solve for x
    x = 96,952,001,287.10/410,062.50
  6. Step 6: Final answer
    x = 236,432.25

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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.