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Finding the Fourth Proportional to 413,136.90, 619,705.35 and 409,200.30

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Solution

The fourth proportional to 413,136.90, 619,705.35 and 409,200.30 is: 613,800.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,136.90 : 619,705.35 = 409,200.30 : x
  2. Step 2: Convert to fraction form
    413,136.90/619,705.35 = 409,200.30/x
  3. Step 3: Cross multiply
    413,136.90x = 619,705.35 × 409,200.30
  4. Step 4: Simplify right side
    413,136.90x = 253,583,615,131.61
  5. Step 5: Solve for x
    x = 253,583,615,131.61/413,136.90
  6. Step 6: Final answer
    x = 613,800.45

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Similar ratio
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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.