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Finding the Fourth Proportional to 464,393.13, 696,586.65 and 127,407.42

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Solution

The fourth proportional to 464,393.13, 696,586.65 and 127,407.42 is: 191,110.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,393.13 : 696,586.65 = 127,407.42 : x
  2. Step 2: Convert to fraction form
    464,393.13/696,586.65 = 127,407.42/x
  3. Step 3: Cross multiply
    464,393.13x = 696,586.65 × 127,407.42
  4. Step 4: Simplify right side
    464,393.13x = 88,750,307,882.94
  5. Step 5: Solve for x
    x = 88,750,307,882.94/464,393.13
  6. Step 6: Final answer
    x = 191,110.29

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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.