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Finding the Fourth Proportional to 359,414.56, 539,005.08 and 119,464

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Solution

The fourth proportional to 359,414.56, 539,005.08 and 119,464 is: 179,157.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,414.56 : 539,005.08 = 119,464 : x
  2. Step 2: Convert to fraction form
    359,414.56/539,005.08 = 119,464/x
  3. Step 3: Cross multiply
    359,414.56x = 539,005.08 × 119,464
  4. Step 4: Simplify right side
    359,414.56x = 64,391,702,877.12
  5. Step 5: Solve for x
    x = 64,391,702,877.12/359,414.56
  6. Step 6: Final answer
    x = 179,157.19

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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.