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Finding the Fourth Proportional to 375,757.38, 518,534.46 and 214,609.10

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Solution

The fourth proportional to 375,757.38, 518,534.46 and 214,609.10 is: 296,154.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,757.38 : 518,534.46 = 214,609.10 : x
  2. Step 2: Convert to fraction form
    375,757.38/518,534.46 = 214,609.10/x
  3. Step 3: Cross multiply
    375,757.38x = 518,534.46 × 214,609.10
  4. Step 4: Simplify right side
    375,757.38x = 111,282,211,186.91
  5. Step 5: Solve for x
    x = 111,282,211,186.91/375,757.38
  6. Step 6: Final answer
    x = 296,154.43

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1.5x scale

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.