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Finding the Fourth Proportional to 359,190.96, 537,970.86 and 278,581.83

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Solution

The fourth proportional to 359,190.96, 537,970.86 and 278,581.83 is: 417,240.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,190.96 : 537,970.86 = 278,581.83 : x
  2. Step 2: Convert to fraction form
    359,190.96/537,970.86 = 278,581.83/x
  3. Step 3: Cross multiply
    359,190.96x = 537,970.86 × 278,581.83
  4. Step 4: Simplify right side
    359,190.96x = 149,868,906,665.47
  5. Step 5: Solve for x
    x = 149,868,906,665.47/359,190.96
  6. Step 6: Final answer
    x = 417,240.20

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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.