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Finding the Fourth Proportional to 464,395.14, 696,589.64 and 127,409.42

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Solution

The fourth proportional to 464,395.14, 696,589.64 and 127,409.42 is: 191,113.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,395.14 : 696,589.64 = 127,409.42 : x
  2. Step 2: Convert to fraction form
    464,395.14/696,589.64 = 127,409.42/x
  3. Step 3: Cross multiply
    464,395.14x = 696,589.64 × 127,409.42
  4. Step 4: Simplify right side
    464,395.14x = 88,752,082,010.41
  5. Step 5: Solve for x
    x = 88,752,082,010.41/464,395.14
  6. Step 6: Final answer
    x = 191,113.29

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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.