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Finding the Fourth Proportional to 359,024.60, 538,536.90 and 106,314.20

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Solution

The fourth proportional to 359,024.60, 538,536.90 and 106,314.20 is: 159,471.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,024.60 : 538,536.90 = 106,314.20 : x
  2. Step 2: Convert to fraction form
    359,024.60/538,536.90 = 106,314.20/x
  3. Step 3: Cross multiply
    359,024.60x = 538,536.90 × 106,314.20
  4. Step 4: Simplify right side
    359,024.60x = 57,254,119,693.98
  5. Step 5: Solve for x
    x = 57,254,119,693.98/359,024.60
  6. Step 6: Final answer
    x = 159,471.30

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1.5x scale

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.