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Finding the Fourth Proportional to 497,586.60, 746,234.10 and 177,701.40

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Solution

The fourth proportional to 497,586.60, 746,234.10 and 177,701.40 is: 266,500.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,586.60 : 746,234.10 = 177,701.40 : x
  2. Step 2: Convert to fraction form
    497,586.60/746,234.10 = 177,701.40/x
  3. Step 3: Cross multiply
    497,586.60x = 746,234.10 × 177,701.40
  4. Step 4: Simplify right side
    497,586.60x = 132,606,844,297.74
  5. Step 5: Solve for x
    x = 132,606,844,297.74/497,586.60
  6. Step 6: Final answer
    x = 266,500.03

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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.