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Finding the Fourth Proportional to 506,018.40, 758,277 and 206,132.64

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Solution

The fourth proportional to 506,018.40, 758,277 and 206,132.64 is: 308,893.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,018.40 : 758,277 = 206,132.64 : x
  2. Step 2: Convert to fraction form
    506,018.40/758,277 = 206,132.64/x
  3. Step 3: Cross multiply
    506,018.40x = 758,277 × 206,132.64
  4. Step 4: Simplify right side
    506,018.40x = 156,305,639,861.28
  5. Step 5: Solve for x
    x = 156,305,639,861.28/506,018.40
  6. Step 6: Final answer
    x = 308,893.19

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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.