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Finding the Fourth Proportional to 315,754.04, 435,735.52 and 172,511

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Solution

The fourth proportional to 315,754.04, 435,735.52 and 172,511 is: 238,062.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,754.04 : 435,735.52 = 172,511 : x
  2. Step 2: Convert to fraction form
    315,754.04/435,735.52 = 172,511/x
  3. Step 3: Cross multiply
    315,754.04x = 435,735.52 × 172,511
  4. Step 4: Simplify right side
    315,754.04x = 75,169,170,290.72
  5. Step 5: Solve for x
    x = 75,169,170,290.72/315,754.04
  6. Step 6: Final answer
    x = 238,062.42

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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.