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Finding the Fourth Proportional to 410,142.40, 615,869.70 and 310,415.20

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Solution

The fourth proportional to 410,142.40, 615,869.70 and 310,415.20 is: 466,119.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,142.40 : 615,869.70 = 310,415.20 : x
  2. Step 2: Convert to fraction form
    410,142.40/615,869.70 = 310,415.20/x
  3. Step 3: Cross multiply
    410,142.40x = 615,869.70 × 310,415.20
  4. Step 4: Simplify right side
    410,142.40x = 191,175,316,099.44
  5. Step 5: Solve for x
    x = 191,175,316,099.44/410,142.40
  6. Step 6: Final answer
    x = 466,119.37

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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.