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Finding the Fourth Proportional to 497,461.92, 746,266.32 and 177,588.96

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Solution

The fourth proportional to 497,461.92, 746,266.32 and 177,588.96 is: 266,409.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,461.92 : 746,266.32 = 177,588.96 : x
  2. Step 2: Convert to fraction form
    497,461.92/746,266.32 = 177,588.96/x
  3. Step 3: Cross multiply
    497,461.92x = 746,266.32 × 177,588.96
  4. Step 4: Simplify right side
    497,461.92x = 132,528,659,651.83
  5. Step 5: Solve for x
    x = 132,528,659,651.83/497,461.92
  6. Step 6: Final answer
    x = 266,409.66

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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.