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Finding the Fourth Proportional to 498,602.80, 747,029.40 and 409,373.20

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Solution

The fourth proportional to 498,602.80, 747,029.40 and 409,373.20 is: 613,341.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,602.80 : 747,029.40 = 409,373.20 : x
  2. Step 2: Convert to fraction form
    498,602.80/747,029.40 = 409,373.20/x
  3. Step 3: Cross multiply
    498,602.80x = 747,029.40 × 409,373.20
  4. Step 4: Simplify right side
    498,602.80x = 305,813,815,972.08
  5. Step 5: Solve for x
    x = 305,813,815,972.08/498,602.80
  6. Step 6: Final answer
    x = 613,341.55

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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.