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Finding the Fourth Proportional to 359,815.43, 496,337.14 and 232,491.02

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Solution

The fourth proportional to 359,815.43, 496,337.14 and 232,491.02 is: 320,703.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,815.43 : 496,337.14 = 232,491.02 : x
  2. Step 2: Convert to fraction form
    359,815.43/496,337.14 = 232,491.02/x
  3. Step 3: Cross multiply
    359,815.43x = 496,337.14 × 232,491.02
  4. Step 4: Simplify right side
    359,815.43x = 115,393,929,077.21
  5. Step 5: Solve for x
    x = 115,393,929,077.21/359,815.43
  6. Step 6: Final answer
    x = 320,703.11

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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.