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Finding the Fourth Proportional to 315,264.38, 435,066.10 and 172,027.40

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Solution

The fourth proportional to 315,264.38, 435,066.10 and 172,027.40 is: 237,398.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,264.38 : 435,066.10 = 172,027.40 : x
  2. Step 2: Convert to fraction form
    315,264.38/435,066.10 = 172,027.40/x
  3. Step 3: Cross multiply
    315,264.38x = 435,066.10 × 172,027.40
  4. Step 4: Simplify right side
    315,264.38x = 74,843,290,011.14
  5. Step 5: Solve for x
    x = 74,843,290,011.14/315,264.38
  6. Step 6: Final answer
    x = 237,398.50

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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.