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Finding the Fourth Proportional to 375,919.68, 518,764.32 and 214,773.48

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Solution

The fourth proportional to 375,919.68, 518,764.32 and 214,773.48 is: 296,384.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,919.68 : 518,764.32 = 214,773.48 : x
  2. Step 2: Convert to fraction form
    375,919.68/518,764.32 = 214,773.48/x
  3. Step 3: Cross multiply
    375,919.68x = 518,764.32 × 214,773.48
  4. Step 4: Simplify right side
    375,919.68x = 111,416,818,306.23
  5. Step 5: Solve for x
    x = 111,416,818,306.23/375,919.68
  6. Step 6: Final answer
    x = 296,384.64

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.