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Finding the Fourth Proportional to 402,906.40, 603,630.60 and 319,217.20

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Solution

The fourth proportional to 402,906.40, 603,630.60 and 319,217.20 is: 478,248.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,906.40 : 603,630.60 = 319,217.20 : x
  2. Step 2: Convert to fraction form
    402,906.40/603,630.60 = 319,217.20/x
  3. Step 3: Cross multiply
    402,906.40x = 603,630.60 × 319,217.20
  4. Step 4: Simplify right side
    402,906.40x = 192,689,269,966.32
  5. Step 5: Solve for x
    x = 192,689,269,966.32/402,906.40
  6. Step 6: Final answer
    x = 478,248.22

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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.