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Finding the Fourth Proportional to 410,023.26, 615,264.54 and 173,542.95

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Solution

The fourth proportional to 410,023.26, 615,264.54 and 173,542.95 is: 260,411.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,023.26 : 615,264.54 = 173,542.95 : x
  2. Step 2: Convert to fraction form
    410,023.26/615,264.54 = 173,542.95/x
  3. Step 3: Cross multiply
    410,023.26x = 615,264.54 × 173,542.95
  4. Step 4: Simplify right side
    410,023.26x = 106,774,823,301.99
  5. Step 5: Solve for x
    x = 106,774,823,301.99/410,023.26
  6. Step 6: Final answer
    x = 260,411.62

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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.