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Finding the Fourth Proportional to 497,542.40, 746,621.40 and 261,054.80

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Solution

The fourth proportional to 497,542.40, 746,621.40 and 261,054.80 is: 391,743.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,542.40 : 746,621.40 = 261,054.80 : x
  2. Step 2: Convert to fraction form
    497,542.40/746,621.40 = 261,054.80/x
  3. Step 3: Cross multiply
    497,542.40x = 746,621.40 × 261,054.80
  4. Step 4: Simplify right side
    497,542.40x = 194,909,100,252.72
  5. Step 5: Solve for x
    x = 194,909,100,252.72/497,542.40
  6. Step 6: Final answer
    x = 391,743.70

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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.