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Finding the Fourth Proportional to 359,938.20, 539,129.70 and 313,282.20

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Solution

The fourth proportional to 359,938.20, 539,129.70 and 313,282.20 is: 469,246.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,938.20 : 539,129.70 = 313,282.20 : x
  2. Step 2: Convert to fraction form
    359,938.20/539,129.70 = 313,282.20/x
  3. Step 3: Cross multiply
    359,938.20x = 539,129.70 × 313,282.20
  4. Step 4: Simplify right side
    359,938.20x = 168,899,738,501.34
  5. Step 5: Solve for x
    x = 168,899,738,501.34/359,938.20
  6. Step 6: Final answer
    x = 469,246.49

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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.