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Finding the Fourth Proportional to 374,818.38, 517,261.80 and 205,052.48

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Solution

The fourth proportional to 374,818.38, 517,261.80 and 205,052.48 is: 282,979.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    374,818.38 : 517,261.80 = 205,052.48 : x
  2. Step 2: Convert to fraction form
    374,818.38/517,261.80 = 205,052.48/x
  3. Step 3: Cross multiply
    374,818.38x = 517,261.80 × 205,052.48
  4. Step 4: Simplify right side
    374,818.38x = 106,065,814,899.26
  5. Step 5: Solve for x
    x = 106,065,814,899.26/374,818.38
  6. Step 6: Final answer
    x = 282,979.23

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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.