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Finding the Fourth Proportional to 464,701.01, 696,996.14 and 127,775.90

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Solution

The fourth proportional to 464,701.01, 696,996.14 and 127,775.90 is: 191,648.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,701.01 : 696,996.14 = 127,775.90 : x
  2. Step 2: Convert to fraction form
    464,701.01/696,996.14 = 127,775.90/x
  3. Step 3: Cross multiply
    464,701.01x = 696,996.14 × 127,775.90
  4. Step 4: Simplify right side
    464,701.01x = 89,059,304,961.17
  5. Step 5: Solve for x
    x = 89,059,304,961.17/464,701.01
  6. Step 6: Final answer
    x = 191,648.62

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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.