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Finding the Fourth Proportional to 472,175.52, 651,602.30 and 257,315.61

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Solution

The fourth proportional to 472,175.52, 651,602.30 and 257,315.61 is: 355,095.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,175.52 : 651,602.30 = 257,315.61 : x
  2. Step 2: Convert to fraction form
    472,175.52/651,602.30 = 257,315.61/x
  3. Step 3: Cross multiply
    472,175.52x = 651,602.30 × 257,315.61
  4. Step 4: Simplify right side
    472,175.52x = 167,667,443,301.90
  5. Step 5: Solve for x
    x = 167,667,443,301.90/472,175.52
  6. Step 6: Final answer
    x = 355,095.59

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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.