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Finding the Fourth Proportional to 513,473.06, 708,538.28 and 283,993.88

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Solution

The fourth proportional to 513,473.06, 708,538.28 and 283,993.88 is: 391,881.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,473.06 : 708,538.28 = 283,993.88 : x
  2. Step 2: Convert to fraction form
    513,473.06/708,538.28 = 283,993.88/x
  3. Step 3: Cross multiply
    513,473.06x = 708,538.28 × 283,993.88
  4. Step 4: Simplify right side
    513,473.06x = 201,220,535,265.73
  5. Step 5: Solve for x
    x = 201,220,535,265.73/513,473.06
  6. Step 6: Final answer
    x = 391,881.39

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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.