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Finding the Fourth Proportional to 477,044.66, 658,339.01 and 262,201.14

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Solution

The fourth proportional to 477,044.66, 658,339.01 and 262,201.14 is: 361,847.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,044.66 : 658,339.01 = 262,201.14 : x
  2. Step 2: Convert to fraction form
    477,044.66/658,339.01 = 262,201.14/x
  3. Step 3: Cross multiply
    477,044.66x = 658,339.01 × 262,201.14
  4. Step 4: Simplify right side
    477,044.66x = 172,617,238,928.47
  5. Step 5: Solve for x
    x = 172,617,238,928.47/477,044.66
  6. Step 6: Final answer
    x = 361,847.13

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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.