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Finding the Fourth Proportional to 477,322.47, 658,728.66 and 296,092.80

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Solution

The fourth proportional to 477,322.47, 658,728.66 and 296,092.80 is: 408,622.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,322.47 : 658,728.66 = 296,092.80 : x
  2. Step 2: Convert to fraction form
    477,322.47/658,728.66 = 296,092.80/x
  3. Step 3: Cross multiply
    477,322.47x = 658,728.66 × 296,092.80
  4. Step 4: Simplify right side
    477,322.47x = 195,044,813,379.65
  5. Step 5: Solve for x
    x = 195,044,813,379.65/477,322.47
  6. Step 6: Final answer
    x = 408,622.74

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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.