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Finding the Fourth Proportional to 294,886.40, 442,329.60 and 137,422.40

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Solution

The fourth proportional to 294,886.40, 442,329.60 and 137,422.40 is: 206,133.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,886.40 : 442,329.60 = 137,422.40 : x
  2. Step 2: Convert to fraction form
    294,886.40/442,329.60 = 137,422.40/x
  3. Step 3: Cross multiply
    294,886.40x = 442,329.60 × 137,422.40
  4. Step 4: Simplify right side
    294,886.40x = 60,785,995,223.04
  5. Step 5: Solve for x
    x = 60,785,995,223.04/294,886.40
  6. Step 6: Final answer
    x = 206,133.60

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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.