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Finding the Fourth Proportional to 297,614.16, 410,710.52 and 161,650.77

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Solution

The fourth proportional to 297,614.16, 410,710.52 and 161,650.77 is: 223,079.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,614.16 : 410,710.52 = 161,650.77 : x
  2. Step 2: Convert to fraction form
    297,614.16/410,710.52 = 161,650.77/x
  3. Step 3: Cross multiply
    297,614.16x = 410,710.52 × 161,650.77
  4. Step 4: Simplify right side
    297,614.16x = 66,391,671,805.10
  5. Step 5: Solve for x
    x = 66,391,671,805.10/297,614.16
  6. Step 6: Final answer
    x = 223,079.68

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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.