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Finding the Fourth Proportional to 474,649.64, 654,991.27 and 259,748.19

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Solution

The fourth proportional to 474,649.64, 654,991.27 and 259,748.19 is: 358,438.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,649.64 : 654,991.27 = 259,748.19 : x
  2. Step 2: Convert to fraction form
    474,649.64/654,991.27 = 259,748.19/x
  3. Step 3: Cross multiply
    474,649.64x = 654,991.27 × 259,748.19
  4. Step 4: Simplify right side
    474,649.64x = 170,132,796,848.30
  5. Step 5: Solve for x
    x = 170,132,796,848.30/474,649.64
  6. Step 6: Final answer
    x = 358,438.69

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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.