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Finding the Fourth Proportional to 397,853.66, 596,774.62 and 98,334.27

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Solution

The fourth proportional to 397,853.66, 596,774.62 and 98,334.27 is: 147,499.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,853.66 : 596,774.62 = 98,334.27 : x
  2. Step 2: Convert to fraction form
    397,853.66/596,774.62 = 98,334.27/x
  3. Step 3: Cross multiply
    397,853.66x = 596,774.62 × 98,334.27
  4. Step 4: Simplify right side
    397,853.66x = 58,683,396,612.23
  5. Step 5: Solve for x
    x = 58,683,396,612.23/397,853.66
  6. Step 6: Final answer
    x = 147,499.95

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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.