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Finding the Fourth Proportional to 359,404.86, 496,138.08 and 232,142.52

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Solution

The fourth proportional to 359,404.86, 496,138.08 and 232,142.52 is: 320,459.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,404.86 : 496,138.08 = 232,142.52 : x
  2. Step 2: Convert to fraction form
    359,404.86/496,138.08 = 232,142.52/x
  3. Step 3: Cross multiply
    359,404.86x = 496,138.08 × 232,142.52
  4. Step 4: Simplify right side
    359,404.86x = 115,174,744,159.16
  5. Step 5: Solve for x
    x = 115,174,744,159.16/359,404.86
  6. Step 6: Final answer
    x = 320,459.62

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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.