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Finding the Fourth Proportional to 366,834.71, 506,016.87 and 230,652.83

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Solution

The fourth proportional to 366,834.71, 506,016.87 and 230,652.83 is: 318,165.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,834.71 : 506,016.87 = 230,652.83 : x
  2. Step 2: Convert to fraction form
    366,834.71/506,016.87 = 230,652.83/x
  3. Step 3: Cross multiply
    366,834.71x = 506,016.87 × 230,652.83
  4. Step 4: Simplify right side
    366,834.71x = 116,714,220,563.16
  5. Step 5: Solve for x
    x = 116,714,220,563.16/366,834.71
  6. Step 6: Final answer
    x = 318,165.70

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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.