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Finding the Fourth Proportional to 415,780.29, 573,742.42 and 234,536.76

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Solution

The fourth proportional to 415,780.29, 573,742.42 and 234,536.76 is: 323,641.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,780.29 : 573,742.42 = 234,536.76 : x
  2. Step 2: Convert to fraction form
    415,780.29/573,742.42 = 234,536.76/x
  3. Step 3: Cross multiply
    415,780.29x = 573,742.42 × 234,536.76
  4. Step 4: Simplify right side
    415,780.29x = 134,563,687,675.02
  5. Step 5: Solve for x
    x = 134,563,687,675.02/415,780.29
  6. Step 6: Final answer
    x = 323,641.33

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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.