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Finding the Fourth Proportional to 359,025.60, 538,538.40 and 106,315.20

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Solution

The fourth proportional to 359,025.60, 538,538.40 and 106,315.20 is: 159,472.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,025.60 : 538,538.40 = 106,315.20 : x
  2. Step 2: Convert to fraction form
    359,025.60/538,538.40 = 106,315.20/x
  3. Step 3: Cross multiply
    359,025.60x = 538,538.40 × 106,315.20
  4. Step 4: Simplify right side
    359,025.60x = 57,254,817,703.68
  5. Step 5: Solve for x
    x = 57,254,817,703.68/359,025.60
  6. Step 6: Final answer
    x = 159,472.80

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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.