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Finding the Fourth Proportional to 408,849.93, 563,892.57 and 265,656.51

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Solution

The fourth proportional to 408,849.93, 563,892.57 and 265,656.51 is: 366,397.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,849.93 : 563,892.57 = 265,656.51 : x
  2. Step 2: Convert to fraction form
    408,849.93/563,892.57 = 265,656.51/x
  3. Step 3: Cross multiply
    408,849.93x = 563,892.57 × 265,656.51
  4. Step 4: Simplify right side
    408,849.93x = 149,801,732,161.13
  5. Step 5: Solve for x
    x = 149,801,732,161.13/408,849.93
  6. Step 6: Final answer
    x = 366,397.84

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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.