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Finding the Fourth Proportional to 359,178.35, 538,403.67 and 232,898.72

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Solution

The fourth proportional to 359,178.35, 538,403.67 and 232,898.72 is: 349,112.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,178.35 : 538,403.67 = 232,898.72 : x
  2. Step 2: Convert to fraction form
    359,178.35/538,403.67 = 232,898.72/x
  3. Step 3: Cross multiply
    359,178.35x = 538,403.67 × 232,898.72
  4. Step 4: Simplify right side
    359,178.35x = 125,393,522,894.28
  5. Step 5: Solve for x
    x = 125,393,522,894.28/359,178.35
  6. Step 6: Final answer
    x = 349,112.15

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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.