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Finding the Fourth Proportional to 513,347.60, 708,396.36 and 283,907

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Solution

The fourth proportional to 513,347.60, 708,396.36 and 283,907 is: 391,778.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,347.60 : 708,396.36 = 283,907 : x
  2. Step 2: Convert to fraction form
    513,347.60/708,396.36 = 283,907/x
  3. Step 3: Cross multiply
    513,347.60x = 708,396.36 × 283,907
  4. Step 4: Simplify right side
    513,347.60x = 201,118,685,378.52
  5. Step 5: Solve for x
    x = 201,118,685,378.52/513,347.60
  6. Step 6: Final answer
    x = 391,778.76

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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.