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Finding the Fourth Proportional to 410,472.60, 616,097.70 and 253,008.60

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Solution

The fourth proportional to 410,472.60, 616,097.70 and 253,008.60 is: 379,752.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,472.60 : 616,097.70 = 253,008.60 : x
  2. Step 2: Convert to fraction form
    410,472.60/616,097.70 = 253,008.60/x
  3. Step 3: Cross multiply
    410,472.60x = 616,097.70 × 253,008.60
  4. Step 4: Simplify right side
    410,472.60x = 155,878,016,540.22
  5. Step 5: Solve for x
    x = 155,878,016,540.22/410,472.60
  6. Step 6: Final answer
    x = 379,752.55

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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.