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Finding the Fourth Proportional to 296,725.60, 409,488.72 and 169,413.04

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Solution

The fourth proportional to 296,725.60, 409,488.72 and 169,413.04 is: 233,794.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,725.60 : 409,488.72 = 169,413.04 : x
  2. Step 2: Convert to fraction form
    296,725.60/409,488.72 = 169,413.04/x
  3. Step 3: Cross multiply
    296,725.60x = 409,488.72 × 169,413.04
  4. Step 4: Simplify right side
    296,725.60x = 69,372,728,900.91
  5. Step 5: Solve for x
    x = 69,372,728,900.91/296,725.60
  6. Step 6: Final answer
    x = 233,794.22

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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.