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Finding the Fourth Proportional to 367,317.91, 506,870.92 and 206,141.81

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Solution

The fourth proportional to 367,317.91, 506,870.92 and 206,141.81 is: 284,460.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,317.91 : 506,870.92 = 206,141.81 : x
  2. Step 2: Convert to fraction form
    367,317.91/506,870.92 = 206,141.81/x
  3. Step 3: Cross multiply
    367,317.91x = 506,870.92 × 206,141.81
  4. Step 4: Simplify right side
    367,317.91x = 104,487,290,438.45
  5. Step 5: Solve for x
    x = 104,487,290,438.45/367,317.91
  6. Step 6: Final answer
    x = 284,460.11

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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.