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Finding the Fourth Proportional to 359,265.60, 538,315.20 and 225,907.20

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Solution

The fourth proportional to 359,265.60, 538,315.20 and 225,907.20 is: 338,494.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,265.60 : 538,315.20 = 225,907.20 : x
  2. Step 2: Convert to fraction form
    359,265.60/538,315.20 = 225,907.20/x
  3. Step 3: Cross multiply
    359,265.60x = 538,315.20 × 225,907.20
  4. Step 4: Simplify right side
    359,265.60x = 121,609,279,549.44
  5. Step 5: Solve for x
    x = 121,609,279,549.44/359,265.60
  6. Step 6: Final answer
    x = 338,494.08

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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.