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Finding the Fourth Proportional to 401,146.28, 601,714.82 and 97,542.15

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Solution

The fourth proportional to 401,146.28, 601,714.82 and 97,542.15 is: 146,312.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,146.28 : 601,714.82 = 97,542.15 : x
  2. Step 2: Convert to fraction form
    401,146.28/601,714.82 = 97,542.15/x
  3. Step 3: Cross multiply
    401,146.28x = 601,714.82 × 97,542.15
  4. Step 4: Simplify right side
    401,146.28x = 58,692,557,229.66
  5. Step 5: Solve for x
    x = 58,692,557,229.66/401,146.28
  6. Step 6: Final answer
    x = 146,312.11

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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.