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Finding the Fourth Proportional to 497,477.10, 746,321.90 and 160,536.90

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Solution

The fourth proportional to 497,477.10, 746,321.90 and 160,536.90 is: 240,839.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,477.10 : 746,321.90 = 160,536.90 : x
  2. Step 2: Convert to fraction form
    497,477.10/746,321.90 = 160,536.90/x
  3. Step 3: Cross multiply
    497,477.10x = 746,321.90 × 160,536.90
  4. Step 4: Simplify right side
    497,477.10x = 119,812,204,228.11
  5. Step 5: Solve for x
    x = 119,812,204,228.11/497,477.10
  6. Step 6: Final answer
    x = 240,839.64

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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.