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Finding the Fourth Proportional to 296,778.40, 409,696.08 and 169,429.42

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Solution

The fourth proportional to 296,778.40, 409,696.08 and 169,429.42 is: 233,893.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,778.40 : 409,696.08 = 169,429.42 : x
  2. Step 2: Convert to fraction form
    296,778.40/409,696.08 = 169,429.42/x
  3. Step 3: Cross multiply
    296,778.40x = 409,696.08 × 169,429.42
  4. Step 4: Simplify right side
    296,778.40x = 69,414,569,210.67
  5. Step 5: Solve for x
    x = 69,414,569,210.67/296,778.40
  6. Step 6: Final answer
    x = 233,893.60

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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.