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Finding the Fourth Proportional to 779,913, 1,076,279.94 and 422,217

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Solution

The fourth proportional to 779,913, 1,076,279.94 and 422,217 is: 582,659.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    779,913 : 1,076,279.94 = 422,217 : x
  2. Step 2: Convert to fraction form
    779,913/1,076,279.94 = 422,217/x
  3. Step 3: Cross multiply
    779,913x = 1,076,279.94 × 422,217
  4. Step 4: Simplify right side
    779,913x = 454,423,687,426.98
  5. Step 5: Solve for x
    x = 454,423,687,426.98/779,913
  6. Step 6: Final answer
    x = 582,659.46

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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.