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Finding the Fourth Proportional to 512,577.05, 707,353.50 and 283,150.11

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Solution

The fourth proportional to 512,577.05, 707,353.50 and 283,150.11 is: 390,745.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,577.05 : 707,353.50 = 283,150.11 : x
  2. Step 2: Convert to fraction form
    512,577.05/707,353.50 = 283,150.11/x
  3. Step 3: Cross multiply
    512,577.05x = 707,353.50 × 283,150.11
  4. Step 4: Simplify right side
    512,577.05x = 200,287,221,333.89
  5. Step 5: Solve for x
    x = 200,287,221,333.89/512,577.05
  6. Step 6: Final answer
    x = 390,745.59

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1.5x scale

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.