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Finding the Fourth Proportional to 779,915, 1,076,282.70 and 422,219

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Solution

The fourth proportional to 779,915, 1,076,282.70 and 422,219 is: 582,662.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    779,915 : 1,076,282.70 = 422,219 : x
  2. Step 2: Convert to fraction form
    779,915/1,076,282.70 = 422,219/x
  3. Step 3: Cross multiply
    779,915x = 1,076,282.70 × 422,219
  4. Step 4: Simplify right side
    779,915x = 454,427,005,311.30
  5. Step 5: Solve for x
    x = 454,427,005,311.30/779,915
  6. Step 6: Final answer
    x = 582,662.22

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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.