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Finding the Fourth Proportional to 374,374.88, 516,637.31 and 204,609

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Solution

The fourth proportional to 374,374.88, 516,637.31 and 204,609 is: 282,360.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    374,374.88 : 516,637.31 = 204,609 : x
  2. Step 2: Convert to fraction form
    374,374.88/516,637.31 = 204,609/x
  3. Step 3: Cross multiply
    374,374.88x = 516,637.31 × 204,609
  4. Step 4: Simplify right side
    374,374.88x = 105,708,642,338.75
  5. Step 5: Solve for x
    x = 105,708,642,338.75/374,374.88
  6. Step 6: Final answer
    x = 282,360.41

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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.