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Finding the Fourth Proportional to 457,222.35, 685,807.14 and 137,367.36

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Solution

The fourth proportional to 457,222.35, 685,807.14 and 137,367.36 is: 206,043.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,222.35 : 685,807.14 = 137,367.36 : x
  2. Step 2: Convert to fraction form
    457,222.35/685,807.14 = 137,367.36/x
  3. Step 3: Cross multiply
    457,222.35x = 685,807.14 × 137,367.36
  4. Step 4: Simplify right side
    457,222.35x = 94,207,516,290.95
  5. Step 5: Solve for x
    x = 94,207,516,290.95/457,222.35
  6. Step 6: Final answer
    x = 206,043.11

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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.