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Finding the Fourth Proportional to 513,370.45, 708,166.82 and 298,486.76

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Solution

The fourth proportional to 513,370.45, 708,166.82 and 298,486.76 is: 411,746.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,370.45 : 708,166.82 = 298,486.76 : x
  2. Step 2: Convert to fraction form
    513,370.45/708,166.82 = 298,486.76/x
  3. Step 3: Cross multiply
    513,370.45x = 708,166.82 × 298,486.76
  4. Step 4: Simplify right side
    513,370.45x = 211,378,422,157.94
  5. Step 5: Solve for x
    x = 211,378,422,157.94/513,370.45
  6. Step 6: Final answer
    x = 411,746.38

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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.