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Finding the Fourth Proportional to 507,493.62, 700,284.63 and 281,082.42

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Solution

The fourth proportional to 507,493.62, 700,284.63 and 281,082.42 is: 387,862.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,493.62 : 700,284.63 = 281,082.42 : x
  2. Step 2: Convert to fraction form
    507,493.62/700,284.63 = 281,082.42/x
  3. Step 3: Cross multiply
    507,493.62x = 700,284.63 × 281,082.42
  4. Step 4: Simplify right side
    507,493.62x = 196,837,698,489.21
  5. Step 5: Solve for x
    x = 196,837,698,489.21/507,493.62
  6. Step 6: Final answer
    x = 387,862.41

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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.