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Finding the Fourth Proportional to 415,810.29, 573,815.40 and 234,523.77

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Solution

The fourth proportional to 415,810.29, 573,815.40 and 234,523.77 is: 323,641.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,810.29 : 573,815.40 = 234,523.77 : x
  2. Step 2: Convert to fraction form
    415,810.29/573,815.40 = 234,523.77/x
  3. Step 3: Cross multiply
    415,810.29x = 573,815.40 × 234,523.77
  4. Step 4: Simplify right side
    415,810.29x = 134,573,350,892.06
  5. Step 5: Solve for x
    x = 134,573,350,892.06/415,810.29
  6. Step 6: Final answer
    x = 323,641.22

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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.