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Finding the Fourth Proportional to 359,398.40, 539,097.60 and 296,412.80

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Solution

The fourth proportional to 359,398.40, 539,097.60 and 296,412.80 is: 444,619.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,398.40 : 539,097.60 = 296,412.80 : x
  2. Step 2: Convert to fraction form
    359,398.40/539,097.60 = 296,412.80/x
  3. Step 3: Cross multiply
    359,398.40x = 539,097.60 × 296,412.80
  4. Step 4: Simplify right side
    359,398.40x = 159,795,429,089.28
  5. Step 5: Solve for x
    x = 159,795,429,089.28/359,398.40
  6. Step 6: Final answer
    x = 444,619.20

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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.