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Finding the Fourth Proportional to 412,860.66, 619,095.78 and 160,262.16

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Solution

The fourth proportional to 412,860.66, 619,095.78 and 160,262.16 is: 240,317.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,860.66 : 619,095.78 = 160,262.16 : x
  2. Step 2: Convert to fraction form
    412,860.66/619,095.78 = 160,262.16/x
  3. Step 3: Cross multiply
    412,860.66x = 619,095.78 × 160,262.16
  4. Step 4: Simplify right side
    412,860.66x = 99,217,626,949.68
  5. Step 5: Solve for x
    x = 99,217,626,949.68/412,860.66
  6. Step 6: Final answer
    x = 240,317.46

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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.