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Finding the Fourth Proportional to 296,690.76, 409,436.10 and 169,365.96

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Solution

The fourth proportional to 296,690.76, 409,436.10 and 169,365.96 is: 233,726.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,690.76 : 409,436.10 = 169,365.96 : x
  2. Step 2: Convert to fraction form
    296,690.76/409,436.10 = 169,365.96/x
  3. Step 3: Cross multiply
    296,690.76x = 409,436.10 × 169,365.96
  4. Step 4: Simplify right side
    296,690.76x = 69,344,538,135.16
  5. Step 5: Solve for x
    x = 69,344,538,135.16/296,690.76
  6. Step 6: Final answer
    x = 233,726.65

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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.