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Finding the Fourth Proportional to 366,686.38, 506,050.58 and 205,541.46

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Solution

The fourth proportional to 366,686.38, 506,050.58 and 205,541.46 is: 283,660.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,686.38 : 506,050.58 = 205,541.46 : x
  2. Step 2: Convert to fraction form
    366,686.38/506,050.58 = 205,541.46/x
  3. Step 3: Cross multiply
    366,686.38x = 506,050.58 × 205,541.46
  4. Step 4: Simplify right side
    366,686.38x = 104,014,375,047.05
  5. Step 5: Solve for x
    x = 104,014,375,047.05/366,686.38
  6. Step 6: Final answer
    x = 283,660.32

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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.