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Finding the Fourth Proportional to 515,671.77, 711,613.38 and 286,228.41

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Solution

The fourth proportional to 515,671.77, 711,613.38 and 286,228.41 is: 394,987.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    515,671.77 : 711,613.38 = 286,228.41 : x
  2. Step 2: Convert to fraction form
    515,671.77/711,613.38 = 286,228.41/x
  3. Step 3: Cross multiply
    515,671.77x = 711,613.38 × 286,228.41
  4. Step 4: Simplify right side
    515,671.77x = 203,683,966,292.13
  5. Step 5: Solve for x
    x = 203,683,966,292.13/515,671.77
  6. Step 6: Final answer
    x = 394,987.62

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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.