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Finding the Fourth Proportional to 410,097.60, 615,232.80 and 173,318.40

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Solution

The fourth proportional to 410,097.60, 615,232.80 and 173,318.40 is: 260,014.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,097.60 : 615,232.80 = 173,318.40 : x
  2. Step 2: Convert to fraction form
    410,097.60/615,232.80 = 173,318.40/x
  3. Step 3: Cross multiply
    410,097.60x = 615,232.80 × 173,318.40
  4. Step 4: Simplify right side
    410,097.60x = 106,631,164,523.52
  5. Step 5: Solve for x
    x = 106,631,164,523.52/410,097.60
  6. Step 6: Final answer
    x = 260,014.11

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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.