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Finding the Fourth Proportional to 374,412.60, 516,782.25 and 213,363.18

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Solution

The fourth proportional to 374,412.60, 516,782.25 and 213,363.18 is: 294,494.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    374,412.60 : 516,782.25 = 213,363.18 : x
  2. Step 2: Convert to fraction form
    374,412.60/516,782.25 = 213,363.18/x
  3. Step 3: Cross multiply
    374,412.60x = 516,782.25 × 213,363.18
  4. Step 4: Simplify right side
    374,412.60x = 110,262,304,227.56
  5. Step 5: Solve for x
    x = 110,262,304,227.56/374,412.60
  6. Step 6: Final answer
    x = 294,494.11

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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.