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Finding the Fourth Proportional to 410,458.40, 614,375.40 and 292,360.40

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Solution

The fourth proportional to 410,458.40, 614,375.40 and 292,360.40 is: 437,605.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,458.40 : 614,375.40 = 292,360.40 : x
  2. Step 2: Convert to fraction form
    410,458.40/614,375.40 = 292,360.40/x
  3. Step 3: Cross multiply
    410,458.40x = 614,375.40 × 292,360.40
  4. Step 4: Simplify right side
    410,458.40x = 179,619,037,694.16
  5. Step 5: Solve for x
    x = 179,619,037,694.16/410,458.40
  6. Step 6: Final answer
    x = 437,605.95

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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.