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Finding the Fourth Proportional to 410,159.60, 615,239.40 and 251,874.80

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Solution

The fourth proportional to 410,159.60, 615,239.40 and 251,874.80 is: 377,812.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,159.60 : 615,239.40 = 251,874.80 : x
  2. Step 2: Convert to fraction form
    410,159.60/615,239.40 = 251,874.80/x
  3. Step 3: Cross multiply
    410,159.60x = 615,239.40 × 251,874.80
  4. Step 4: Simplify right side
    410,159.60x = 154,963,300,827.12
  5. Step 5: Solve for x
    x = 154,963,300,827.12/410,159.60
  6. Step 6: Final answer
    x = 377,812.20

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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.