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Finding the Fourth Proportional to 474,824.64, 655,266.24 and 293,532.08

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Solution

The fourth proportional to 474,824.64, 655,266.24 and 293,532.08 is: 405,079.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,824.64 : 655,266.24 = 293,532.08 : x
  2. Step 2: Convert to fraction form
    474,824.64/655,266.24 = 293,532.08/x
  3. Step 3: Cross multiply
    474,824.64x = 655,266.24 × 293,532.08
  4. Step 4: Simplify right side
    474,824.64x = 192,341,662,380.98
  5. Step 5: Solve for x
    x = 192,341,662,380.98/474,824.64
  6. Step 6: Final answer
    x = 405,079.36

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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.