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Finding the Fourth Proportional to 515,908.44, 711,943.56 and 286,453.89

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Solution

The fourth proportional to 515,908.44, 711,943.56 and 286,453.89 is: 395,300.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    515,908.44 : 711,943.56 = 286,453.89 : x
  2. Step 2: Convert to fraction form
    515,908.44/711,943.56 = 286,453.89/x
  3. Step 3: Cross multiply
    515,908.44x = 711,943.56 × 286,453.89
  4. Step 4: Simplify right side
    515,908.44x = 203,939,002,222.45
  5. Step 5: Solve for x
    x = 203,939,002,222.45/515,908.44
  6. Step 6: Final answer
    x = 395,300.77

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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.