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Finding the Fourth Proportional to 296,326.91, 408,931.10 and 160,360.83

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Solution

The fourth proportional to 296,326.91, 408,931.10 and 160,360.83 is: 221,297.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,326.91 : 408,931.10 = 160,360.83 : x
  2. Step 2: Convert to fraction form
    296,326.91/408,931.10 = 160,360.83/x
  3. Step 3: Cross multiply
    296,326.91x = 408,931.10 × 160,360.83
  4. Step 4: Simplify right side
    296,326.91x = 65,576,530,608.81
  5. Step 5: Solve for x
    x = 65,576,530,608.81/296,326.91
  6. Step 6: Final answer
    x = 221,297.93

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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.