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Finding the Fourth Proportional to 395,437.14, 593,033.14 and 142,684.94

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Solution

The fourth proportional to 395,437.14, 593,033.14 and 142,684.94 is: 213,983.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,437.14 : 593,033.14 = 142,684.94 : x
  2. Step 2: Convert to fraction form
    395,437.14/593,033.14 = 142,684.94/x
  3. Step 3: Cross multiply
    395,437.14x = 593,033.14 × 142,684.94
  4. Step 4: Simplify right side
    395,437.14x = 84,616,896,159.62
  5. Step 5: Solve for x
    x = 84,616,896,159.62/395,437.14
  6. Step 6: Final answer
    x = 213,983.18

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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.