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Finding the Fourth Proportional to 502,406.70, 753,610.05 and 466,977.30

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Solution

The fourth proportional to 502,406.70, 753,610.05 and 466,977.30 is: 700,465.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,406.70 : 753,610.05 = 466,977.30 : x
  2. Step 2: Convert to fraction form
    502,406.70/753,610.05 = 466,977.30/x
  3. Step 3: Cross multiply
    502,406.70x = 753,610.05 × 466,977.30
  4. Step 4: Simplify right side
    502,406.70x = 351,918,786,401.87
  5. Step 5: Solve for x
    x = 351,918,786,401.87/502,406.70
  6. Step 6: Final answer
    x = 700,465.95

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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.