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Finding the Fourth Proportional to 503,778.71, 695,161.68 and 285,918.10

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Solution

The fourth proportional to 503,778.71, 695,161.68 and 285,918.10 is: 394,536.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    503,778.71 : 695,161.68 = 285,918.10 : x
  2. Step 2: Convert to fraction form
    503,778.71/695,161.68 = 285,918.10/x
  3. Step 3: Cross multiply
    503,778.71x = 695,161.68 × 285,918.10
  4. Step 4: Simplify right side
    503,778.71x = 198,759,306,738.41
  5. Step 5: Solve for x
    x = 198,759,306,738.41/503,778.71
  6. Step 6: Final answer
    x = 394,536.93

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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.