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Finding the Fourth Proportional to 410,638.19, 615,957.26 and 154,518.89

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Solution

The fourth proportional to 410,638.19, 615,957.26 and 154,518.89 is: 231,778.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,638.19 : 615,957.26 = 154,518.89 : x
  2. Step 2: Convert to fraction form
    410,638.19/615,957.26 = 154,518.89/x
  3. Step 3: Cross multiply
    410,638.19x = 615,957.26 × 154,518.89
  4. Step 4: Simplify right side
    410,638.19x = 95,177,028,250.26
  5. Step 5: Solve for x
    x = 95,177,028,250.26/410,638.19
  6. Step 6: Final answer
    x = 231,778.32

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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.