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Finding the Fourth Proportional to 367,285.65, 506,854.20 and 206,140.71

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Solution

The fourth proportional to 367,285.65, 506,854.20 and 206,140.71 is: 284,474.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,285.65 : 506,854.20 = 206,140.71 : x
  2. Step 2: Convert to fraction form
    367,285.65/506,854.20 = 206,140.71/x
  3. Step 3: Cross multiply
    367,285.65x = 506,854.20 × 206,140.71
  4. Step 4: Simplify right side
    367,285.65x = 104,483,284,654.48
  5. Step 5: Solve for x
    x = 104,483,284,654.48/367,285.65
  6. Step 6: Final answer
    x = 284,474.18

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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.