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Finding the Fourth Proportional to 343,499.94, 514,806.39 and 153,821.70

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Solution

The fourth proportional to 343,499.94, 514,806.39 and 153,821.70 is: 230,533.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,499.94 : 514,806.39 = 153,821.70 : x
  2. Step 2: Convert to fraction form
    343,499.94/514,806.39 = 153,821.70/x
  3. Step 3: Cross multiply
    343,499.94x = 514,806.39 × 153,821.70
  4. Step 4: Simplify right side
    343,499.94x = 79,188,394,080.66
  5. Step 5: Solve for x
    x = 79,188,394,080.66/343,499.94
  6. Step 6: Final answer
    x = 230,533.94

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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.