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Finding the Fourth Proportional to 367,362.21, 506,959.61 and 206,217.57

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Solution

The fourth proportional to 367,362.21, 506,959.61 and 206,217.57 is: 284,580.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,362.21 : 506,959.61 = 206,217.57 : x
  2. Step 2: Convert to fraction form
    367,362.21/506,959.61 = 206,217.57/x
  3. Step 3: Cross multiply
    367,362.21x = 506,959.61 × 206,217.57
  4. Step 4: Simplify right side
    367,362.21x = 104,543,977,831.26
  5. Step 5: Solve for x
    x = 104,543,977,831.26/367,362.21
  6. Step 6: Final answer
    x = 284,580.11

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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.