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Finding the Fourth Proportional to 349,071.78, 523,637.73 and 96,352.31

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Solution

The fourth proportional to 349,071.78, 523,637.73 and 96,352.31 is: 144,536.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,071.78 : 523,637.73 = 96,352.31 : x
  2. Step 2: Convert to fraction form
    349,071.78/523,637.73 = 96,352.31/x
  3. Step 3: Cross multiply
    349,071.78x = 523,637.73 × 96,352.31
  4. Step 4: Simplify right side
    349,071.78x = 50,453,707,137.36
  5. Step 5: Solve for x
    x = 50,453,707,137.36/349,071.78
  6. Step 6: Final answer
    x = 144,536.77

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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.