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Finding the Fourth Proportional to 315,593.76, 473,108.90 and 115,867.74

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Solution

The fourth proportional to 315,593.76, 473,108.90 and 115,867.74 is: 173,698.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,593.76 : 473,108.90 = 115,867.74 : x
  2. Step 2: Convert to fraction form
    315,593.76/473,108.90 = 115,867.74/x
  3. Step 3: Cross multiply
    315,593.76x = 473,108.90 × 115,867.74
  4. Step 4: Simplify right side
    315,593.76x = 54,818,058,437.55
  5. Step 5: Solve for x
    x = 54,818,058,437.55/315,593.76
  6. Step 6: Final answer
    x = 173,698.17

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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.