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Finding the Fourth Proportional to 474,284.35, 654,498.48 and 259,419.77

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Solution

The fourth proportional to 474,284.35, 654,498.48 and 259,419.77 is: 357,991.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,284.35 : 654,498.48 = 259,419.77 : x
  2. Step 2: Convert to fraction form
    474,284.35/654,498.48 = 259,419.77/x
  3. Step 3: Cross multiply
    474,284.35x = 654,498.48 × 259,419.77
  4. Step 4: Simplify right side
    474,284.35x = 169,789,842,847.28
  5. Step 5: Solve for x
    x = 169,789,842,847.28/474,284.35
  6. Step 6: Final answer
    x = 357,991.66

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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.