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Finding the Fourth Proportional to 497,535.40, 746,610.90 and 261,047.80

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Solution

The fourth proportional to 497,535.40, 746,610.90 and 261,047.80 is: 391,733.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,535.40 : 746,610.90 = 261,047.80 : x
  2. Step 2: Convert to fraction form
    497,535.40/746,610.90 = 261,047.80/x
  3. Step 3: Cross multiply
    497,535.40x = 746,610.90 × 261,047.80
  4. Step 4: Simplify right side
    497,535.40x = 194,901,132,901.02
  5. Step 5: Solve for x
    x = 194,901,132,901.02/497,535.40
  6. Step 6: Final answer
    x = 391,733.20

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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.