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Finding the Fourth Proportional to 315,429.25, 473,143.90 and 251,952.17

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Solution

The fourth proportional to 315,429.25, 473,143.90 and 251,952.17 is: 377,928.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,429.25 : 473,143.90 = 251,952.17 : x
  2. Step 2: Convert to fraction form
    315,429.25/473,143.90 = 251,952.17/x
  3. Step 3: Cross multiply
    315,429.25x = 473,143.90 × 251,952.17
  4. Step 4: Simplify right side
    315,429.25x = 119,209,633,767.39
  5. Step 5: Solve for x
    x = 119,209,633,767.39/315,429.25
  6. Step 6: Final answer
    x = 377,928.28

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.