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Finding the Fourth Proportional to 411,964.70, 617,947.05 and 404,966.30

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Solution

The fourth proportional to 411,964.70, 617,947.05 and 404,966.30 is: 607,449.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,964.70 : 617,947.05 = 404,966.30 : x
  2. Step 2: Convert to fraction form
    411,964.70/617,947.05 = 404,966.30/x
  3. Step 3: Cross multiply
    411,964.70x = 617,947.05 × 404,966.30
  4. Step 4: Simplify right side
    411,964.70x = 250,247,730,434.42
  5. Step 5: Solve for x
    x = 250,247,730,434.42/411,964.70
  6. Step 6: Final answer
    x = 607,449.45

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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.