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Finding the Fourth Proportional to 466,000.61, 699,002.74 and 141,791.95

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Solution

The fourth proportional to 466,000.61, 699,002.74 and 141,791.95 is: 212,688.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    466,000.61 : 699,002.74 = 141,791.95 : x
  2. Step 2: Convert to fraction form
    466,000.61/699,002.74 = 141,791.95/x
  3. Step 3: Cross multiply
    466,000.61x = 699,002.74 × 141,791.95
  4. Step 4: Simplify right side
    466,000.61x = 99,112,958,064.93
  5. Step 5: Solve for x
    x = 99,112,958,064.93/466,000.61
  6. Step 6: Final answer
    x = 212,688.47

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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.