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Finding the Fourth Proportional to 309,334.59, 464,041.13 and 109,615.95

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Solution

The fourth proportional to 309,334.59, 464,041.13 and 109,615.95 is: 164,437.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,334.59 : 464,041.13 = 109,615.95 : x
  2. Step 2: Convert to fraction form
    309,334.59/464,041.13 = 109,615.95/x
  3. Step 3: Cross multiply
    309,334.59x = 464,041.13 × 109,615.95
  4. Step 4: Simplify right side
    309,334.59x = 50,866,308,755.94
  5. Step 5: Solve for x
    x = 50,866,308,755.94/309,334.59
  6. Step 6: Final answer
    x = 164,437.83

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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.