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Finding the Fourth Proportional to 1,147,541.92, 1,583,415.44 and 638,176.16

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Solution

The fourth proportional to 1,147,541.92, 1,583,415.44 and 638,176.16 is: 880,576.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,147,541.92 : 1,583,415.44 = 638,176.16 : x
  2. Step 2: Convert to fraction form
    1,147,541.92/1,583,415.44 = 638,176.16/x
  3. Step 3: Cross multiply
    1,147,541.92x = 1,583,415.44 × 638,176.16
  4. Step 4: Simplify right side
    1,147,541.92x = 1,010,497,985,183.91
  5. Step 5: Solve for x
    x = 1,010,497,985,183.91/1,147,541.92
  6. Step 6: Final answer
    x = 880,576.10

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Why These Related Problems?

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