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Finding the Fourth Proportional to 519,773.96, 779,123.34 and 199,838.60

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Solution

The fourth proportional to 519,773.96, 779,123.34 and 199,838.60 is: 299,551.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,773.96 : 779,123.34 = 199,838.60 : x
  2. Step 2: Convert to fraction form
    519,773.96/779,123.34 = 199,838.60/x
  3. Step 3: Cross multiply
    519,773.96x = 779,123.34 × 199,838.60
  4. Step 4: Simplify right side
    519,773.96x = 155,698,917,492.92
  5. Step 5: Solve for x
    x = 155,698,917,492.92/519,773.96
  6. Step 6: Final answer
    x = 299,551.21

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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.