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Finding the Fourth Proportional to 512,710.88, 769,066.40 and 335,367.08

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Solution

The fourth proportional to 512,710.88, 769,066.40 and 335,367.08 is: 503,050.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,710.88 : 769,066.40 = 335,367.08 : x
  2. Step 2: Convert to fraction form
    512,710.88/769,066.40 = 335,367.08/x
  3. Step 3: Cross multiply
    512,710.88x = 769,066.40 × 335,367.08
  4. Step 4: Simplify right side
    512,710.88x = 257,919,552,894.11
  5. Step 5: Solve for x
    x = 257,919,552,894.11/512,710.88
  6. Step 6: Final answer
    x = 503,050.67

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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.