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Finding the Fourth Proportional to 496,905.40, 745,358.10 and 458,414.20

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Solution

The fourth proportional to 496,905.40, 745,358.10 and 458,414.20 is: 687,621.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    496,905.40 : 745,358.10 = 458,414.20 : x
  2. Step 2: Convert to fraction form
    496,905.40/745,358.10 = 458,414.20/x
  3. Step 3: Cross multiply
    496,905.40x = 745,358.10 × 458,414.20
  4. Step 4: Simplify right side
    496,905.40x = 341,682,737,125.02
  5. Step 5: Solve for x
    x = 341,682,737,125.02/496,905.40
  6. Step 6: Final answer
    x = 687,621.30

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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.