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Finding the Fourth Proportional to 410,064.70, 615,097.05 and 335,269.30

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Solution

The fourth proportional to 410,064.70, 615,097.05 and 335,269.30 is: 502,903.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,064.70 : 615,097.05 = 335,269.30 : x
  2. Step 2: Convert to fraction form
    410,064.70/615,097.05 = 335,269.30/x
  3. Step 3: Cross multiply
    410,064.70x = 615,097.05 × 335,269.30
  4. Step 4: Simplify right side
    410,064.70x = 206,223,157,385.57
  5. Step 5: Solve for x
    x = 206,223,157,385.57/410,064.70
  6. Step 6: Final answer
    x = 502,903.95

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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.