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Finding the Fourth Proportional to 468,881.84, 647,056 and 254,027.20

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Solution

The fourth proportional to 468,881.84, 647,056 and 254,027.20 is: 350,557.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,881.84 : 647,056 = 254,027.20 : x
  2. Step 2: Convert to fraction form
    468,881.84/647,056 = 254,027.20/x
  3. Step 3: Cross multiply
    468,881.84x = 647,056 × 254,027.20
  4. Step 4: Simplify right side
    468,881.84x = 164,369,823,923.20
  5. Step 5: Solve for x
    x = 164,369,823,923.20/468,881.84
  6. Step 6: Final answer
    x = 350,557.03

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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.