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Finding the Fourth Proportional to 519,771.52, 779,968.28 and 224,283.52

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Solution

The fourth proportional to 519,771.52, 779,968.28 and 224,283.52 is: 336,559.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,771.52 : 779,968.28 = 224,283.52 : x
  2. Step 2: Convert to fraction form
    519,771.52/779,968.28 = 224,283.52/x
  3. Step 3: Cross multiply
    519,771.52x = 779,968.28 × 224,283.52
  4. Step 4: Simplify right side
    519,771.52x = 174,934,031,326.75
  5. Step 5: Solve for x
    x = 174,934,031,326.75/519,771.52
  6. Step 6: Final answer
    x = 336,559.48

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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.