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Finding the Fourth Proportional to 409,816.20, 614,724.30 and 344,862.30

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Solution

The fourth proportional to 409,816.20, 614,724.30 and 344,862.30 is: 517,293.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,816.20 : 614,724.30 = 344,862.30 : x
  2. Step 2: Convert to fraction form
    409,816.20/614,724.30 = 344,862.30/x
  3. Step 3: Cross multiply
    409,816.20x = 614,724.30 × 344,862.30
  4. Step 4: Simplify right side
    409,816.20x = 211,995,235,963.89
  5. Step 5: Solve for x
    x = 211,995,235,963.89/409,816.20
  6. Step 6: Final answer
    x = 517,293.45

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1.5x scale

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.