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Finding the Fourth Proportional to 523,219.60, 784,829.40 and 257,150.80

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Solution

The fourth proportional to 523,219.60, 784,829.40 and 257,150.80 is: 385,726.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,219.60 : 784,829.40 = 257,150.80 : x
  2. Step 2: Convert to fraction form
    523,219.60/784,829.40 = 257,150.80/x
  3. Step 3: Cross multiply
    523,219.60x = 784,829.40 × 257,150.80
  4. Step 4: Simplify right side
    523,219.60x = 201,819,508,073.52
  5. Step 5: Solve for x
    x = 201,819,508,073.52/523,219.60
  6. Step 6: Final answer
    x = 385,726.20

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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.