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Finding the Fourth Proportional to 457,138.50, 685,575.35 and 137,277.46

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Solution

The fourth proportional to 457,138.50, 685,575.35 and 137,277.46 is: 205,876.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,138.50 : 685,575.35 = 137,277.46 : x
  2. Step 2: Convert to fraction form
    457,138.50/685,575.35 = 137,277.46/x
  3. Step 3: Cross multiply
    457,138.50x = 685,575.35 × 137,277.46
  4. Step 4: Simplify right side
    457,138.50x = 94,114,042,686.61
  5. Step 5: Solve for x
    x = 94,114,042,686.61/457,138.50
  6. Step 6: Final answer
    x = 205,876.43

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.