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Finding the Fourth Proportional to 415,156.38, 572,902.23 and 262,275.96

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Solution

The fourth proportional to 415,156.38, 572,902.23 and 262,275.96 is: 361,932.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,156.38 : 572,902.23 = 262,275.96 : x
  2. Step 2: Convert to fraction form
    415,156.38/572,902.23 = 262,275.96/x
  3. Step 3: Cross multiply
    415,156.38x = 572,902.23 × 262,275.96
  4. Step 4: Simplify right side
    415,156.38x = 150,258,482,359.39
  5. Step 5: Solve for x
    x = 150,258,482,359.39/415,156.38
  6. Step 6: Final answer
    x = 361,932.25

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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.