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Finding the Fourth Proportional to 557,823.16, 769,802 and 303,174.40

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Solution

The fourth proportional to 557,823.16, 769,802 and 303,174.40 is: 418,383.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    557,823.16 : 769,802 = 303,174.40 : x
  2. Step 2: Convert to fraction form
    557,823.16/769,802 = 303,174.40/x
  3. Step 3: Cross multiply
    557,823.16x = 769,802 × 303,174.40
  4. Step 4: Simplify right side
    557,823.16x = 233,384,259,468.80
  5. Step 5: Solve for x
    x = 233,384,259,468.80/557,823.16
  6. Step 6: Final answer
    x = 418,383.95

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.