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Finding the Fourth Proportional to 408,867.51, 613,038.83 and 268,462.11

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Solution

The fourth proportional to 408,867.51, 613,038.83 and 268,462.11 is: 402,520.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,867.51 : 613,038.83 = 268,462.11 : x
  2. Step 2: Convert to fraction form
    408,867.51/613,038.83 = 268,462.11/x
  3. Step 3: Cross multiply
    408,867.51x = 613,038.83 × 268,462.11
  4. Step 4: Simplify right side
    408,867.51x = 164,577,696,471.42
  5. Step 5: Solve for x
    x = 164,577,696,471.42/408,867.51
  6. Step 6: Final answer
    x = 402,520.85

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.