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Finding the Fourth Proportional to 557,098.38, 768,795.77 and 302,449.57

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Solution

The fourth proportional to 557,098.38, 768,795.77 and 302,449.57 is: 417,380.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    557,098.38 : 768,795.77 = 302,449.57 : x
  2. Step 2: Convert to fraction form
    557,098.38/768,795.77 = 302,449.57/x
  3. Step 3: Cross multiply
    557,098.38x = 768,795.77 × 302,449.57
  4. Step 4: Simplify right side
    557,098.38x = 232,521,949,774.73
  5. Step 5: Solve for x
    x = 232,521,949,774.73/557,098.38
  6. Step 6: Final answer
    x = 417,380.41

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1.5x scale

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.