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Finding the Fourth Proportional to 474,634.68, 712,444.10 and 317,958

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Solution

The fourth proportional to 474,634.68, 712,444.10 and 317,958 is: 477,266.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,634.68 : 712,444.10 = 317,958 : x
  2. Step 2: Convert to fraction form
    474,634.68/712,444.10 = 317,958/x
  3. Step 3: Cross multiply
    474,634.68x = 712,444.10 × 317,958
  4. Step 4: Simplify right side
    474,634.68x = 226,527,301,147.80
  5. Step 5: Solve for x
    x = 226,527,301,147.80/474,634.68
  6. Step 6: Final answer
    x = 477,266.64

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.