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Finding the Fourth Proportional to 359,378.84, 496,102.21 and 232,116.50

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Solution

The fourth proportional to 359,378.84, 496,102.21 and 232,116.50 is: 320,423.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,378.84 : 496,102.21 = 232,116.50 : x
  2. Step 2: Convert to fraction form
    359,378.84/496,102.21 = 232,116.50/x
  3. Step 3: Cross multiply
    359,378.84x = 496,102.21 × 232,116.50
  4. Step 4: Simplify right side
    359,378.84x = 115,153,508,627.47
  5. Step 5: Solve for x
    x = 115,153,508,627.47/359,378.84
  6. Step 6: Final answer
    x = 320,423.73

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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.