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Finding the Fourth Proportional to 576,472.75, 865,233.87 and 306,827.27

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Solution

The fourth proportional to 576,472.75, 865,233.87 and 306,827.27 is: 460,520.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    576,472.75 : 865,233.87 = 306,827.27 : x
  2. Step 2: Convert to fraction form
    576,472.75/865,233.87 = 306,827.27/x
  3. Step 3: Cross multiply
    576,472.75x = 865,233.87 × 306,827.27
  4. Step 4: Simplify right side
    576,472.75x = 265,477,347,700.54
  5. Step 5: Solve for x
    x = 265,477,347,700.54/576,472.75
  6. Step 6: Final answer
    x = 460,520.20

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.