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Finding the Fourth Proportional to 472,937.85, 652,648.86 and 258,081.57

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Solution

The fourth proportional to 472,937.85, 652,648.86 and 258,081.57 is: 356,149.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,937.85 : 652,648.86 = 258,081.57 : x
  2. Step 2: Convert to fraction form
    472,937.85/652,648.86 = 258,081.57/x
  3. Step 3: Cross multiply
    472,937.85x = 652,648.86 × 258,081.57
  4. Step 4: Simplify right side
    472,937.85x = 168,436,642,447.51
  5. Step 5: Solve for x
    x = 168,436,642,447.51/472,937.85
  6. Step 6: Final answer
    x = 356,149.63

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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.