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Finding the Fourth Proportional to 427,013.47, 589,218.38 and 243,256.87

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Solution

The fourth proportional to 427,013.47, 589,218.38 and 243,256.87 is: 335,660.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,013.47 : 589,218.38 = 243,256.87 : x
  2. Step 2: Convert to fraction form
    427,013.47/589,218.38 = 243,256.87/x
  3. Step 3: Cross multiply
    427,013.47x = 589,218.38 × 243,256.87
  4. Step 4: Simplify right side
    427,013.47x = 143,331,415,919.18
  5. Step 5: Solve for x
    x = 143,331,415,919.18/427,013.47
  6. Step 6: Final answer
    x = 335,660.18

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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.