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Finding the Fourth Proportional to 472,985.13, 652,733.31 and 258,138.97

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Solution

The fourth proportional to 472,985.13, 652,733.31 and 258,138.97 is: 356,239.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,985.13 : 652,733.31 = 258,138.97 : x
  2. Step 2: Convert to fraction form
    472,985.13/652,733.31 = 258,138.97/x
  3. Step 3: Cross multiply
    472,985.13x = 652,733.31 × 258,138.97
  4. Step 4: Simplify right side
    472,985.13x = 168,495,904,328.09
  5. Step 5: Solve for x
    x = 168,495,904,328.09/472,985.13
  6. Step 6: Final answer
    x = 356,239.33

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.