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Finding the Fourth Proportional to 474,415.68, 654,467.44 and 293,062.32

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Solution

The fourth proportional to 474,415.68, 654,467.44 and 293,062.32 is: 404,286.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,415.68 : 654,467.44 = 293,062.32 : x
  2. Step 2: Convert to fraction form
    474,415.68/654,467.44 = 293,062.32/x
  3. Step 3: Cross multiply
    474,415.68x = 654,467.44 × 293,062.32
  4. Step 4: Simplify right side
    474,415.68x = 191,799,746,330.86
  5. Step 5: Solve for x
    x = 191,799,746,330.86/474,415.68
  6. Step 6: Final answer
    x = 404,286.27

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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.