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Finding the Fourth Proportional to 309,332.52, 464,053.86 and 159,532.34

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Solution

The fourth proportional to 309,332.52, 464,053.86 and 159,532.34 is: 239,326.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,332.52 : 464,053.86 = 159,532.34 : x
  2. Step 2: Convert to fraction form
    309,332.52/464,053.86 = 159,532.34/x
  3. Step 3: Cross multiply
    309,332.52x = 464,053.86 × 159,532.34
  4. Step 4: Simplify right side
    309,332.52x = 74,031,595,851.56
  5. Step 5: Solve for x
    x = 74,031,595,851.56/309,332.52
  6. Step 6: Final answer
    x = 239,326.91

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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.