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Finding the Fourth Proportional to 492,456.80, 738,674.40 and 137,460.80

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Solution

The fourth proportional to 492,456.80, 738,674.40 and 137,460.80 is: 206,188.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,456.80 : 738,674.40 = 137,460.80 : x
  2. Step 2: Convert to fraction form
    492,456.80/738,674.40 = 137,460.80/x
  3. Step 3: Cross multiply
    492,456.80x = 738,674.40 × 137,460.80
  4. Step 4: Simplify right side
    492,456.80x = 101,538,773,963.52
  5. Step 5: Solve for x
    x = 101,538,773,963.52/492,456.80
  6. Step 6: Final answer
    x = 206,188.19

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1.5x scale

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.