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Finding the Fourth Proportional to 486,212.60, 729,002.10 and 436,446.20

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Solution

The fourth proportional to 486,212.60, 729,002.10 and 436,446.20 is: 654,384.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    486,212.60 : 729,002.10 = 436,446.20 : x
  2. Step 2: Convert to fraction form
    486,212.60/729,002.10 = 436,446.20/x
  3. Step 3: Cross multiply
    486,212.60x = 729,002.10 × 436,446.20
  4. Step 4: Simplify right side
    486,212.60x = 318,170,196,337.02
  5. Step 5: Solve for x
    x = 318,170,196,337.02/486,212.60
  6. Step 6: Final answer
    x = 654,384.93

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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.