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Finding the Fourth Proportional to 499,733.76, 689,616 and 298,410.24

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Solution

The fourth proportional to 499,733.76, 689,616 and 298,410.24 is: 411,796.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    499,733.76 : 689,616 = 298,410.24 : x
  2. Step 2: Convert to fraction form
    499,733.76/689,616 = 298,410.24/x
  3. Step 3: Cross multiply
    499,733.76x = 689,616 × 298,410.24
  4. Step 4: Simplify right side
    499,733.76x = 205,788,476,067.84
  5. Step 5: Solve for x
    x = 205,788,476,067.84/499,733.76
  6. Step 6: Final answer
    x = 411,796.23

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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.