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Finding the Fourth Proportional to 410,938.40, 615,970.20 and 158,121.20

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Solution

The fourth proportional to 410,938.40, 615,970.20 and 158,121.20 is: 237,013.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,938.40 : 615,970.20 = 158,121.20 : x
  2. Step 2: Convert to fraction form
    410,938.40/615,970.20 = 158,121.20/x
  3. Step 3: Cross multiply
    410,938.40x = 615,970.20 × 158,121.20
  4. Step 4: Simplify right side
    410,938.40x = 97,397,947,188.24
  5. Step 5: Solve for x
    x = 97,397,947,188.24/410,938.40
  6. Step 6: Final answer
    x = 237,013.50

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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.