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Finding the Fourth Proportional to 315,462.72, 435,344.82 and 172,223.30

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Solution

The fourth proportional to 315,462.72, 435,344.82 and 172,223.30 is: 237,671.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,462.72 : 435,344.82 = 172,223.30 : x
  2. Step 2: Convert to fraction form
    315,462.72/435,344.82 = 172,223.30/x
  3. Step 3: Cross multiply
    315,462.72x = 435,344.82 × 172,223.30
  4. Step 4: Simplify right side
    315,462.72x = 74,976,521,538.31
  5. Step 5: Solve for x
    x = 74,976,521,538.31/315,462.72
  6. Step 6: Final answer
    x = 237,671.58

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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.