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Finding the Fourth Proportional to 410,128.40, 615,848.70 and 310,401.20

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Solution

The fourth proportional to 410,128.40, 615,848.70 and 310,401.20 is: 466,098.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,128.40 : 615,848.70 = 310,401.20 : x
  2. Step 2: Convert to fraction form
    410,128.40/615,848.70 = 310,401.20/x
  3. Step 3: Cross multiply
    410,128.40x = 615,848.70 × 310,401.20
  4. Step 4: Simplify right side
    410,128.40x = 191,160,175,498.44
  5. Step 5: Solve for x
    x = 191,160,175,498.44/410,128.40
  6. Step 6: Final answer
    x = 466,098.36

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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.