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Finding the Fourth Proportional to 565,112.71, 779,659.44 and 361,282.94

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Solution

The fourth proportional to 565,112.71, 779,659.44 and 361,282.94 is: 498,445.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,112.71 : 779,659.44 = 361,282.94 : x
  2. Step 2: Convert to fraction form
    565,112.71/779,659.44 = 361,282.94/x
  3. Step 3: Cross multiply
    565,112.71x = 779,659.44 × 361,282.94
  4. Step 4: Simplify right side
    565,112.71x = 281,677,654,384.79
  5. Step 5: Solve for x
    x = 281,677,654,384.79/565,112.71
  6. Step 6: Final answer
    x = 498,445.09

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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.