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Finding the Fourth Proportional to 341,447.10, 512,559.45 and 201,284.70

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Solution

The fourth proportional to 341,447.10, 512,559.45 and 201,284.70 is: 302,156.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,447.10 : 512,559.45 = 201,284.70 : x
  2. Step 2: Convert to fraction form
    341,447.10/512,559.45 = 201,284.70/x
  3. Step 3: Cross multiply
    341,447.10x = 512,559.45 × 201,284.70
  4. Step 4: Simplify right side
    341,447.10x = 103,170,375,125.42
  5. Step 5: Solve for x
    x = 103,170,375,125.42/341,447.10
  6. Step 6: Final answer
    x = 302,156.25

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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.