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Finding the Fourth Proportional to 337,687.10, 506,530.65 and 305,027.90

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Solution

The fourth proportional to 337,687.10, 506,530.65 and 305,027.90 is: 457,541.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    337,687.10 : 506,530.65 = 305,027.90 : x
  2. Step 2: Convert to fraction form
    337,687.10/506,530.65 = 305,027.90/x
  3. Step 3: Cross multiply
    337,687.10x = 506,530.65 × 305,027.90
  4. Step 4: Simplify right side
    337,687.10x = 154,505,980,455.14
  5. Step 5: Solve for x
    x = 154,505,980,455.14/337,687.10
  6. Step 6: Final answer
    x = 457,541.85

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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.