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Finding the Fourth Proportional to 340,801.28, 511,131.52 and 91,424

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Solution

The fourth proportional to 340,801.28, 511,131.52 and 91,424 is: 137,117.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,801.28 : 511,131.52 = 91,424 : x
  2. Step 2: Convert to fraction form
    340,801.28/511,131.52 = 91,424/x
  3. Step 3: Cross multiply
    340,801.28x = 511,131.52 × 91,424
  4. Step 4: Simplify right side
    340,801.28x = 46,729,688,084.48
  5. Step 5: Solve for x
    x = 46,729,688,084.48/340,801.28
  6. Step 6: Final answer
    x = 137,117.11

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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.