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Finding the Fourth Proportional to 519,951.35, 779,410.35 and 361,847.66

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Solution

The fourth proportional to 519,951.35, 779,410.35 and 361,847.66 is: 542,411.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,951.35 : 779,410.35 = 361,847.66 : x
  2. Step 2: Convert to fraction form
    519,951.35/779,410.35 = 361,847.66/x
  3. Step 3: Cross multiply
    519,951.35x = 779,410.35 × 361,847.66
  4. Step 4: Simplify right side
    519,951.35x = 282,027,807,430.23
  5. Step 5: Solve for x
    x = 282,027,807,430.23/519,951.35
  6. Step 6: Final answer
    x = 542,411.91

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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.