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Finding the Fourth Proportional to 474,959.70, 655,439.46 and 257,164.64

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Solution

The fourth proportional to 474,959.70, 655,439.46 and 257,164.64 is: 354,884.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,959.70 : 655,439.46 = 257,164.64 : x
  2. Step 2: Convert to fraction form
    474,959.70/655,439.46 = 257,164.64/x
  3. Step 3: Cross multiply
    474,959.70x = 655,439.46 × 257,164.64
  4. Step 4: Simplify right side
    474,959.70x = 168,555,849,495.50
  5. Step 5: Solve for x
    x = 168,555,849,495.50/474,959.70
  6. Step 6: Final answer
    x = 354,884.53

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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.