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Finding the Fourth Proportional to 291,323.13, 402,046.13 and 176,606.61

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Solution

The fourth proportional to 291,323.13, 402,046.13 and 176,606.61 is: 243,729.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,323.13 : 402,046.13 = 176,606.61 : x
  2. Step 2: Convert to fraction form
    291,323.13/402,046.13 = 176,606.61/x
  3. Step 3: Cross multiply
    291,323.13x = 402,046.13 × 176,606.61
  4. Step 4: Simplify right side
    291,323.13x = 71,004,004,524.44
  5. Step 5: Solve for x
    x = 71,004,004,524.44/291,323.13
  6. Step 6: Final answer
    x = 243,729.38

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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.