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Finding the Fourth Proportional to 515,794.98, 711,764.25 and 286,356.81

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Solution

The fourth proportional to 515,794.98, 711,764.25 and 286,356.81 is: 395,154.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    515,794.98 : 711,764.25 = 286,356.81 : x
  2. Step 2: Convert to fraction form
    515,794.98/711,764.25 = 286,356.81/x
  3. Step 3: Cross multiply
    515,794.98x = 711,764.25 × 286,356.81
  4. Step 4: Simplify right side
    515,794.98x = 203,818,540,102.04
  5. Step 5: Solve for x
    x = 203,818,540,102.04/515,794.98
  6. Step 6: Final answer
    x = 395,154.18

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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.