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Finding the Fourth Proportional to 474,308.28, 654,712.20 and 293,159.16

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Solution

The fourth proportional to 474,308.28, 654,712.20 and 293,159.16 is: 404,662.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,308.28 : 654,712.20 = 293,159.16 : x
  2. Step 2: Convert to fraction form
    474,308.28/654,712.20 = 293,159.16/x
  3. Step 3: Cross multiply
    474,308.28x = 654,712.20 × 293,159.16
  4. Step 4: Simplify right side
    474,308.28x = 191,934,878,593.75
  5. Step 5: Solve for x
    x = 191,934,878,593.75/474,308.28
  6. Step 6: Final answer
    x = 404,662.72

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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.