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Finding the Fourth Proportional to 516,695.68, 774,625.29 and 161,526.88

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Solution

The fourth proportional to 516,695.68, 774,625.29 and 161,526.88 is: 242,159.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,695.68 : 774,625.29 = 161,526.88 : x
  2. Step 2: Convert to fraction form
    516,695.68/774,625.29 = 161,526.88/x
  3. Step 3: Cross multiply
    516,695.68x = 774,625.29 × 161,526.88
  4. Step 4: Simplify right side
    516,695.68x = 125,122,806,262.80
  5. Step 5: Solve for x
    x = 125,122,806,262.80/516,695.68
  6. Step 6: Final answer
    x = 242,159.57

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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.