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Finding the Fourth Proportional to 515,609.48, 711,530.38 and 286,153.44

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Solution

The fourth proportional to 515,609.48, 711,530.38 and 286,153.44 is: 394,885.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    515,609.48 : 711,530.38 = 286,153.44 : x
  2. Step 2: Convert to fraction form
    515,609.48/711,530.38 = 286,153.44/x
  3. Step 3: Cross multiply
    515,609.48x = 711,530.38 × 286,153.44
  4. Step 4: Simplify right side
    515,609.48x = 203,606,864,470.74
  5. Step 5: Solve for x
    x = 203,606,864,470.74/515,609.48
  6. Step 6: Final answer
    x = 394,885.81

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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.