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Finding the Fourth Proportional to 296,578.59, 409,307.76 and 169,273.32

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Solution

The fourth proportional to 296,578.59, 409,307.76 and 169,273.32 is: 233,613.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,578.59 : 409,307.76 = 169,273.32 : x
  2. Step 2: Convert to fraction form
    296,578.59/409,307.76 = 169,273.32/x
  3. Step 3: Cross multiply
    296,578.59x = 409,307.76 × 169,273.32
  4. Step 4: Simplify right side
    296,578.59x = 69,284,883,436.96
  5. Step 5: Solve for x
    x = 69,284,883,436.96/296,578.59
  6. Step 6: Final answer
    x = 233,613.91

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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.