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Finding the Fourth Proportional to 471,860.12, 651,599.70 and 299,834.78

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Solution

The fourth proportional to 471,860.12, 651,599.70 and 299,834.78 is: 414,046.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,860.12 : 651,599.70 = 299,834.78 : x
  2. Step 2: Convert to fraction form
    471,860.12/651,599.70 = 299,834.78/x
  3. Step 3: Cross multiply
    471,860.12x = 651,599.70 × 299,834.78
  4. Step 4: Simplify right side
    471,860.12x = 195,372,252,697.57
  5. Step 5: Solve for x
    x = 195,372,252,697.57/471,860.12
  6. Step 6: Final answer
    x = 414,046.97

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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.