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Finding the Fourth Proportional to 780,516, 1,077,118.56 and 422,820

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Solution

The fourth proportional to 780,516, 1,077,118.56 and 422,820 is: 583,495.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    780,516 : 1,077,118.56 = 422,820 : x
  2. Step 2: Convert to fraction form
    780,516/1,077,118.56 = 422,820/x
  3. Step 3: Cross multiply
    780,516x = 1,077,118.56 × 422,820
  4. Step 4: Simplify right side
    780,516x = 455,427,269,539.20
  5. Step 5: Solve for x
    x = 455,427,269,539.20/780,516
  6. Step 6: Final answer
    x = 583,495.11

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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.