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Finding the Fourth Proportional to 410,061.40, 615,092.10 and 110,541.40

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Solution

The fourth proportional to 410,061.40, 615,092.10 and 110,541.40 is: 165,812.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,061.40 : 615,092.10 = 110,541.40 : x
  2. Step 2: Convert to fraction form
    410,061.40/615,092.10 = 110,541.40/x
  3. Step 3: Cross multiply
    410,061.40x = 615,092.10 × 110,541.40
  4. Step 4: Simplify right side
    410,061.40x = 67,993,141,862.94
  5. Step 5: Solve for x
    x = 67,993,141,862.94/410,061.40
  6. Step 6: Final answer
    x = 165,812.10

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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.