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Finding the Fourth Proportional to 410,104.65, 615,156.98 and 354,008.10

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Solution

The fourth proportional to 410,104.65, 615,156.98 and 354,008.10 is: 531,012.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,104.65 : 615,156.98 = 354,008.10 : x
  2. Step 2: Convert to fraction form
    410,104.65/615,156.98 = 354,008.10/x
  3. Step 3: Cross multiply
    410,104.65x = 615,156.98 × 354,008.10
  4. Step 4: Simplify right side
    410,104.65x = 217,770,551,921.50
  5. Step 5: Solve for x
    x = 217,770,551,921.50/410,104.65
  6. Step 6: Final answer
    x = 531,012.15

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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.