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Finding the Fourth Proportional to 374,876.52, 517,316.76 and 213,783.48

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Solution

The fourth proportional to 374,876.52, 517,316.76 and 213,783.48 is: 295,013.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    374,876.52 : 517,316.76 = 213,783.48 : x
  2. Step 2: Convert to fraction form
    374,876.52/517,316.76 = 213,783.48/x
  3. Step 3: Cross multiply
    374,876.52x = 517,316.76 × 213,783.48
  4. Step 4: Simplify right side
    374,876.52x = 110,593,777,215.13
  5. Step 5: Solve for x
    x = 110,593,777,215.13/374,876.52
  6. Step 6: Final answer
    x = 295,013.88

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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.