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Finding the Fourth Proportional to 442,806.70, 664,210.05 and 418,312.30

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Solution

The fourth proportional to 442,806.70, 664,210.05 and 418,312.30 is: 627,468.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,806.70 : 664,210.05 = 418,312.30 : x
  2. Step 2: Convert to fraction form
    442,806.70/664,210.05 = 418,312.30/x
  3. Step 3: Cross multiply
    442,806.70x = 664,210.05 × 418,312.30
  4. Step 4: Simplify right side
    442,806.70x = 277,847,233,698.62
  5. Step 5: Solve for x
    x = 277,847,233,698.62/442,806.70
  6. Step 6: Final answer
    x = 627,468.45

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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.