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Finding the Fourth Proportional to 577,644.80, 866,467.20 and 409,683.20

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Solution

The fourth proportional to 577,644.80, 866,467.20 and 409,683.20 is: 614,524.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    577,644.80 : 866,467.20 = 409,683.20 : x
  2. Step 2: Convert to fraction form
    577,644.80/866,467.20 = 409,683.20/x
  3. Step 3: Cross multiply
    577,644.80x = 866,467.20 × 409,683.20
  4. Step 4: Simplify right side
    577,644.80x = 354,977,055,191.04
  5. Step 5: Solve for x
    x = 354,977,055,191.04/577,644.80
  6. Step 6: Final answer
    x = 614,524.80

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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.