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Finding the Fourth Proportional to 307,772.52, 460,444.14 and 233,107.80

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Solution

The fourth proportional to 307,772.52, 460,444.14 and 233,107.80 is: 348,741.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,772.52 : 460,444.14 = 233,107.80 : x
  2. Step 2: Convert to fraction form
    307,772.52/460,444.14 = 233,107.80/x
  3. Step 3: Cross multiply
    307,772.52x = 460,444.14 × 233,107.80
  4. Step 4: Simplify right side
    307,772.52x = 107,333,120,498.29
  5. Step 5: Solve for x
    x = 107,333,120,498.29/307,772.52
  6. Step 6: Final answer
    x = 348,741.73

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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.