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Finding the Fourth Proportional to 515,386.61, 711,209.49 and 285,941.45

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Solution

The fourth proportional to 515,386.61, 711,209.49 and 285,941.45 is: 394,585.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    515,386.61 : 711,209.49 = 285,941.45 : x
  2. Step 2: Convert to fraction form
    515,386.61/711,209.49 = 285,941.45/x
  3. Step 3: Cross multiply
    515,386.61x = 711,209.49 × 285,941.45
  4. Step 4: Simplify right side
    515,386.61x = 203,364,269,268.31
  5. Step 5: Solve for x
    x = 203,364,269,268.31/515,386.61
  6. Step 6: Final answer
    x = 394,585.86

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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.