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Finding the Fourth Proportional to 409,904.52, 610,781.78 and 365,187.66

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Solution

The fourth proportional to 409,904.52, 610,781.78 and 365,187.66 is: 544,151.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,904.52 : 610,781.78 = 365,187.66 : x
  2. Step 2: Convert to fraction form
    409,904.52/610,781.78 = 365,187.66/x
  3. Step 3: Cross multiply
    409,904.52x = 610,781.78 × 365,187.66
  4. Step 4: Simplify right side
    409,904.52x = 223,049,967,182.90
  5. Step 5: Solve for x
    x = 223,049,967,182.90/409,904.52
  6. Step 6: Final answer
    x = 544,151.03

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.