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Finding the Fourth Proportional to 785,162.16, 1,083,523.96 and 427,466.16

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Solution

The fourth proportional to 785,162.16, 1,083,523.96 and 427,466.16 is: 589,903.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    785,162.16 : 1,083,523.96 = 427,466.16 : x
  2. Step 2: Convert to fraction form
    785,162.16/1,083,523.96 = 427,466.16/x
  3. Step 3: Cross multiply
    785,162.16x = 1,083,523.96 × 427,466.16
  4. Step 4: Simplify right side
    785,162.16x = 463,169,826,449.19
  5. Step 5: Solve for x
    x = 463,169,826,449.19/785,162.16
  6. Step 6: Final answer
    x = 589,903.40

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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.