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Finding the Fourth Proportional to 286,876.77, 429,921.48 and 181,507.11

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Solution

The fourth proportional to 286,876.77, 429,921.48 and 181,507.11 is: 272,011.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,876.77 : 429,921.48 = 181,507.11 : x
  2. Step 2: Convert to fraction form
    286,876.77/429,921.48 = 181,507.11/x
  3. Step 3: Cross multiply
    286,876.77x = 429,921.48 × 181,507.11
  4. Step 4: Simplify right side
    286,876.77x = 78,033,805,361.72
  5. Step 5: Solve for x
    x = 78,033,805,361.72/286,876.77
  6. Step 6: Final answer
    x = 272,011.59

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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.