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Finding the Fourth Proportional to 466,041.40, 699,350.10 and 185,529.40

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Solution

The fourth proportional to 466,041.40, 699,350.10 and 185,529.40 is: 278,408.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    466,041.40 : 699,350.10 = 185,529.40 : x
  2. Step 2: Convert to fraction form
    466,041.40/699,350.10 = 185,529.40/x
  3. Step 3: Cross multiply
    466,041.40x = 699,350.10 × 185,529.40
  4. Step 4: Simplify right side
    466,041.40x = 129,750,004,442.94
  5. Step 5: Solve for x
    x = 129,750,004,442.94/466,041.40
  6. Step 6: Final answer
    x = 278,408.75

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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.