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Finding the Fourth Proportional to 427,064.13, 589,355.51 and 254,997.13

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Solution

The fourth proportional to 427,064.13, 589,355.51 and 254,997.13 is: 351,900.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,064.13 : 589,355.51 = 254,997.13 : x
  2. Step 2: Convert to fraction form
    427,064.13/589,355.51 = 254,997.13/x
  3. Step 3: Cross multiply
    427,064.13x = 589,355.51 × 254,997.13
  4. Step 4: Simplify right side
    427,064.13x = 150,283,963,599.69
  5. Step 5: Solve for x
    x = 150,283,963,599.69/427,064.13
  6. Step 6: Final answer
    x = 351,900.23

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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.