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Finding the Fourth Proportional to 557,951.40, 769,963.86 and 303,309

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Solution

The fourth proportional to 557,951.40, 769,963.86 and 303,309 is: 418,561.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    557,951.40 : 769,963.86 = 303,309 : x
  2. Step 2: Convert to fraction form
    557,951.40/769,963.86 = 303,309/x
  3. Step 3: Cross multiply
    557,951.40x = 769,963.86 × 303,309
  4. Step 4: Simplify right side
    557,951.40x = 233,536,968,412.74
  5. Step 5: Solve for x
    x = 233,536,968,412.74/557,951.40
  6. Step 6: Final answer
    x = 418,561.49

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