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Finding the Fourth Proportional to 496,780.56, 744,752.88 and 216,086.40

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Solution

The fourth proportional to 496,780.56, 744,752.88 and 216,086.40 is: 323,947.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    496,780.56 : 744,752.88 = 216,086.40 : x
  2. Step 2: Convert to fraction form
    496,780.56/744,752.88 = 216,086.40/x
  3. Step 3: Cross multiply
    496,780.56x = 744,752.88 × 216,086.40
  4. Step 4: Simplify right side
    496,780.56x = 160,930,968,728.83
  5. Step 5: Solve for x
    x = 160,930,968,728.83/496,780.56
  6. Step 6: Final answer
    x = 323,947.80

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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.