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Finding the Fourth Proportional to 410,641.61, 615,855.49 and 173,862.41

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Solution

The fourth proportional to 410,641.61, 615,855.49 and 173,862.41 is: 260,748.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,641.61 : 615,855.49 = 173,862.41 : x
  2. Step 2: Convert to fraction form
    410,641.61/615,855.49 = 173,862.41/x
  3. Step 3: Cross multiply
    410,641.61x = 615,855.49 × 173,862.41
  4. Step 4: Simplify right side
    410,641.61x = 107,074,116,189.20
  5. Step 5: Solve for x
    x = 107,074,116,189.20/410,641.61
  6. Step 6: Final answer
    x = 260,748.34

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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.