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Finding the Fourth Proportional to 359,710.12, 496,590.30 and 232,458.31

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Solution

The fourth proportional to 359,710.12, 496,590.30 and 232,458.31 is: 320,915.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,710.12 : 496,590.30 = 232,458.31 : x
  2. Step 2: Convert to fraction form
    359,710.12/496,590.30 = 232,458.31/x
  3. Step 3: Cross multiply
    359,710.12x = 496,590.30 × 232,458.31
  4. Step 4: Simplify right side
    359,710.12x = 115,436,541,900.39
  5. Step 5: Solve for x
    x = 115,436,541,900.39/359,710.12
  6. Step 6: Final answer
    x = 320,915.47

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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.