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Finding the Fourth Proportional to 2,533,062.57, 3,799,827.44 and 827,214.81

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Solution

The fourth proportional to 2,533,062.57, 3,799,827.44 and 827,214.81 is: 1,240,898.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,533,062.57 : 3,799,827.44 = 827,214.81 : x
  2. Step 2: Convert to fraction form
    2,533,062.57/3,799,827.44 = 827,214.81/x
  3. Step 3: Cross multiply
    2,533,062.57x = 3,799,827.44 × 827,214.81
  4. Step 4: Simplify right side
    2,533,062.57x = 3,143,273,533,812.39
  5. Step 5: Solve for x
    x = 3,143,273,533,812.39/2,533,062.57
  6. Step 6: Final answer
    x = 1,240,898.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.