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Finding the Fourth Proportional to 513,206.82, 708,212.82 and 283,758.06

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Solution

The fourth proportional to 513,206.82, 708,212.82 and 283,758.06 is: 391,579.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,206.82 : 708,212.82 = 283,758.06 : x
  2. Step 2: Convert to fraction form
    513,206.82/708,212.82 = 283,758.06/x
  3. Step 3: Cross multiply
    513,206.82x = 708,212.82 × 283,758.06
  4. Step 4: Simplify right side
    513,206.82x = 200,961,095,870.33
  5. Step 5: Solve for x
    x = 200,961,095,870.33/513,206.82
  6. Step 6: Final answer
    x = 391,579.16

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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.