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Finding the Fourth Proportional to 359,700.12, 496,576.47 and 232,448.31

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Solution

The fourth proportional to 359,700.12, 496,576.47 and 232,448.31 is: 320,901.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,700.12 : 496,576.47 = 232,448.31 : x
  2. Step 2: Convert to fraction form
    359,700.12/496,576.47 = 232,448.31/x
  3. Step 3: Cross multiply
    359,700.12x = 496,576.47 × 232,448.31
  4. Step 4: Simplify right side
    359,700.12x = 115,428,361,237.27
  5. Step 5: Solve for x
    x = 115,428,361,237.27/359,700.12
  6. Step 6: Final answer
    x = 320,901.65

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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.