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Finding the Fourth Proportional to 340,394.77, 510,355.71 and 150,751.80

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Solution

The fourth proportional to 340,394.77, 510,355.71 and 150,751.80 is: 226,022.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,394.77 : 510,355.71 = 150,751.80 : x
  2. Step 2: Convert to fraction form
    340,394.77/510,355.71 = 150,751.80/x
  3. Step 3: Cross multiply
    340,394.77x = 510,355.71 × 150,751.80
  4. Step 4: Simplify right side
    340,394.77x = 76,937,039,371.00
  5. Step 5: Solve for x
    x = 76,937,039,371.00/340,394.77
  6. Step 6: Final answer
    x = 226,022.98

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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.