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Finding the Fourth Proportional to 534,244.42, 801,298.95 and 150,028.16

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Solution

The fourth proportional to 534,244.42, 801,298.95 and 150,028.16 is: 225,023.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    534,244.42 : 801,298.95 = 150,028.16 : x
  2. Step 2: Convert to fraction form
    534,244.42/801,298.95 = 150,028.16/x
  3. Step 3: Cross multiply
    534,244.42x = 801,298.95 × 150,028.16
  4. Step 4: Simplify right side
    534,244.42x = 120,217,406,028.85
  5. Step 5: Solve for x
    x = 120,217,406,028.85/534,244.42
  6. Step 6: Final answer
    x = 225,023.23

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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.