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Finding the Fourth Proportional to 498,465.10, 747,697.65 and 443,352.70

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Solution

The fourth proportional to 498,465.10, 747,697.65 and 443,352.70 is: 665,029.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,465.10 : 747,697.65 = 443,352.70 : x
  2. Step 2: Convert to fraction form
    498,465.10/747,697.65 = 443,352.70/x
  3. Step 3: Cross multiply
    498,465.10x = 747,697.65 × 443,352.70
  4. Step 4: Simplify right side
    498,465.10x = 331,493,771,911.16
  5. Step 5: Solve for x
    x = 331,493,771,911.16/498,465.10
  6. Step 6: Final answer
    x = 665,029.05

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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.