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Finding the Fourth Proportional to 617,105.40, 925,726.14 and 196,282.86

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Solution

The fourth proportional to 617,105.40, 925,726.14 and 196,282.86 is: 294,445.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    617,105.40 : 925,726.14 = 196,282.86 : x
  2. Step 2: Convert to fraction form
    617,105.40/925,726.14 = 196,282.86/x
  3. Step 3: Cross multiply
    617,105.40x = 925,726.14 × 196,282.86
  4. Step 4: Simplify right side
    617,105.40x = 181,704,174,335.96
  5. Step 5: Solve for x
    x = 181,704,174,335.96/617,105.40
  6. Step 6: Final answer
    x = 294,445.93

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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.