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Finding the Fourth Proportional to 515,386.11, 711,208.80 and 285,940.95

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Solution

The fourth proportional to 515,386.11, 711,208.80 and 285,940.95 is: 394,585.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    515,386.11 : 711,208.80 = 285,940.95 : x
  2. Step 2: Convert to fraction form
    515,386.11/711,208.80 = 285,940.95/x
  3. Step 3: Cross multiply
    515,386.11x = 711,208.80 × 285,940.95
  4. Step 4: Simplify right side
    515,386.11x = 203,363,719,920.36
  5. Step 5: Solve for x
    x = 203,363,719,920.36/515,386.11
  6. Step 6: Final answer
    x = 394,585.18

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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.