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Finding the Fourth Proportional to 398,141.20, 597,211.80 and 257,136.40

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Solution

The fourth proportional to 398,141.20, 597,211.80 and 257,136.40 is: 385,704.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,141.20 : 597,211.80 = 257,136.40 : x
  2. Step 2: Convert to fraction form
    398,141.20/597,211.80 = 257,136.40/x
  3. Step 3: Cross multiply
    398,141.20x = 597,211.80 × 257,136.40
  4. Step 4: Simplify right side
    398,141.20x = 153,564,892,289.52
  5. Step 5: Solve for x
    x = 153,564,892,289.52/398,141.20
  6. Step 6: Final answer
    x = 385,704.60

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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.