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Finding the Fourth Proportional to 415,808.71, 573,814.85 and 232,045.32

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Solution

The fourth proportional to 415,808.71, 573,814.85 and 232,045.32 is: 320,221.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,808.71 : 573,814.85 = 232,045.32 : x
  2. Step 2: Convert to fraction form
    415,808.71/573,814.85 = 232,045.32/x
  3. Step 3: Cross multiply
    415,808.71x = 573,814.85 × 232,045.32
  4. Step 4: Simplify right side
    415,808.71x = 133,151,051,480.58
  5. Step 5: Solve for x
    x = 133,151,051,480.58/415,808.71
  6. Step 6: Final answer
    x = 320,221.89

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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.