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Finding the Fourth Proportional to 519,772, 779,969.04 and 224,284

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Solution

The fourth proportional to 519,772, 779,969.04 and 224,284 is: 336,560.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,772 : 779,969.04 = 224,284 : x
  2. Step 2: Convert to fraction form
    519,772/779,969.04 = 224,284/x
  3. Step 3: Cross multiply
    519,772x = 779,969.04 × 224,284
  4. Step 4: Simplify right side
    519,772x = 174,934,576,167.36
  5. Step 5: Solve for x
    x = 174,934,576,167.36/519,772
  6. Step 6: Final answer
    x = 336,560.22

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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.