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Finding the Fourth Proportional to 513,278.44, 708,295.38 and 283,822.04

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Solution

The fourth proportional to 513,278.44, 708,295.38 and 283,822.04 is: 391,658.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,278.44 : 708,295.38 = 283,822.04 : x
  2. Step 2: Convert to fraction form
    513,278.44/708,295.38 = 283,822.04/x
  3. Step 3: Cross multiply
    513,278.44x = 708,295.38 × 283,822.04
  4. Step 4: Simplify right side
    513,278.44x = 201,029,839,674.18
  5. Step 5: Solve for x
    x = 201,029,839,674.18/513,278.44
  6. Step 6: Final answer
    x = 391,658.45

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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.