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Finding the Fourth Proportional to 471,282.52, 650,158.50 and 318,271

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Solution

The fourth proportional to 471,282.52, 650,158.50 and 318,271 is: 439,071.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,282.52 : 650,158.50 = 318,271 : x
  2. Step 2: Convert to fraction form
    471,282.52/650,158.50 = 318,271/x
  3. Step 3: Cross multiply
    471,282.52x = 650,158.50 × 318,271
  4. Step 4: Simplify right side
    471,282.52x = 206,926,595,953.50
  5. Step 5: Solve for x
    x = 206,926,595,953.50/471,282.52
  6. Step 6: Final answer
    x = 439,071.23

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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.