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Finding the Fourth Proportional to 652,901.40, 978,761.21 and 232,078.86

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Solution

The fourth proportional to 652,901.40, 978,761.21 and 232,078.86 is: 347,908.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    652,901.40 : 978,761.21 = 232,078.86 : x
  2. Step 2: Convert to fraction form
    652,901.40/978,761.21 = 232,078.86/x
  3. Step 3: Cross multiply
    652,901.40x = 978,761.21 × 232,078.86
  4. Step 4: Simplify right side
    652,901.40x = 227,149,784,668.63
  5. Step 5: Solve for x
    x = 227,149,784,668.63/652,901.40
  6. Step 6: Final answer
    x = 347,908.25

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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.