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Finding the Fourth Proportional to 541,713.60, 812,570.40 and 407,869.20

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Solution

The fourth proportional to 541,713.60, 812,570.40 and 407,869.20 is: 611,803.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    541,713.60 : 812,570.40 = 407,869.20 : x
  2. Step 2: Convert to fraction form
    541,713.60/812,570.40 = 407,869.20/x
  3. Step 3: Cross multiply
    541,713.60x = 812,570.40 × 407,869.20
  4. Step 4: Simplify right side
    541,713.60x = 331,422,438,991.68
  5. Step 5: Solve for x
    x = 331,422,438,991.68/541,713.60
  6. Step 6: Final answer
    x = 611,803.80

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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.