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Finding the Fourth Proportional to 523,213.60, 784,820.40 and 257,144.80

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Solution

The fourth proportional to 523,213.60, 784,820.40 and 257,144.80 is: 385,717.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,213.60 : 784,820.40 = 257,144.80 : x
  2. Step 2: Convert to fraction form
    523,213.60/784,820.40 = 257,144.80/x
  3. Step 3: Cross multiply
    523,213.60x = 784,820.40 × 257,144.80
  4. Step 4: Simplify right side
    523,213.60x = 201,812,484,793.92
  5. Step 5: Solve for x
    x = 201,812,484,793.92/523,213.60
  6. Step 6: Final answer
    x = 385,717.20

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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.