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Finding the Fourth Proportional to 299,572.88, 413,355.78 and 170,503.73

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Solution

The fourth proportional to 299,572.88, 413,355.78 and 170,503.73 is: 235,263.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,572.88 : 413,355.78 = 170,503.73 : x
  2. Step 2: Convert to fraction form
    299,572.88/413,355.78 = 170,503.73/x
  3. Step 3: Cross multiply
    299,572.88x = 413,355.78 × 170,503.73
  4. Step 4: Simplify right side
    299,572.88x = 70,478,700,240.28
  5. Step 5: Solve for x
    x = 70,478,700,240.28/299,572.88
  6. Step 6: Final answer
    x = 235,263.95

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.