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Finding the Fourth Proportional to 472,076.02, 651,456.69 and 257,217.85

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Solution

The fourth proportional to 472,076.02, 651,456.69 and 257,217.85 is: 354,956.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,076.02 : 651,456.69 = 257,217.85 : x
  2. Step 2: Convert to fraction form
    472,076.02/651,456.69 = 257,217.85/x
  3. Step 3: Cross multiply
    472,076.02x = 651,456.69 × 257,217.85
  4. Step 4: Simplify right side
    472,076.02x = 167,566,289,169.92
  5. Step 5: Solve for x
    x = 167,566,289,169.92/472,076.02
  6. Step 6: Final answer
    x = 354,956.16

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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.