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Finding the Fourth Proportional to 315,294.80, 435,116.07 and 172,064.09

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Solution

The fourth proportional to 315,294.80, 435,116.07 and 172,064.09 is: 237,453.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,294.80 : 435,116.07 = 172,064.09 : x
  2. Step 2: Convert to fraction form
    315,294.80/435,116.07 = 172,064.09/x
  3. Step 3: Cross multiply
    315,294.80x = 435,116.07 × 172,064.09
  4. Step 4: Simplify right side
    315,294.80x = 74,867,850,628.93
  5. Step 5: Solve for x
    x = 74,867,850,628.93/315,294.80
  6. Step 6: Final answer
    x = 237,453.49

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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.