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Finding the Fourth Proportional to 310,843.42, 466,265.10 and 205,637.77

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Solution

The fourth proportional to 310,843.42, 466,265.10 and 205,637.77 is: 308,456.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,843.42 : 466,265.10 = 205,637.77 : x
  2. Step 2: Convert to fraction form
    310,843.42/466,265.10 = 205,637.77/x
  3. Step 3: Cross multiply
    310,843.42x = 466,265.10 × 205,637.77
  4. Step 4: Simplify right side
    310,843.42x = 95,881,715,392.83
  5. Step 5: Solve for x
    x = 95,881,715,392.83/310,843.42
  6. Step 6: Final answer
    x = 308,456.64

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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.