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Finding the Fourth Proportional to 359,125.60, 538,688.40 and 275,144.80

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Solution

The fourth proportional to 359,125.60, 538,688.40 and 275,144.80 is: 412,717.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,125.60 : 538,688.40 = 275,144.80 : x
  2. Step 2: Convert to fraction form
    359,125.60/538,688.40 = 275,144.80/x
  3. Step 3: Cross multiply
    359,125.60x = 538,688.40 × 275,144.80
  4. Step 4: Simplify right side
    359,125.60x = 148,217,312,080.32
  5. Step 5: Solve for x
    x = 148,217,312,080.32/359,125.60
  6. Step 6: Final answer
    x = 412,717.20

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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.