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Finding the Fourth Proportional to 410,276.68, 615,689.90 and 144,037.98

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Solution

The fourth proportional to 410,276.68, 615,689.90 and 144,037.98 is: 216,153.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,276.68 : 615,689.90 = 144,037.98 : x
  2. Step 2: Convert to fraction form
    410,276.68/615,689.90 = 144,037.98/x
  3. Step 3: Cross multiply
    410,276.68x = 615,689.90 × 144,037.98
  4. Step 4: Simplify right side
    410,276.68x = 88,682,729,502.40
  5. Step 5: Solve for x
    x = 88,682,729,502.40/410,276.68
  6. Step 6: Final answer
    x = 216,153.47

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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.