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Finding the Fourth Proportional to 519,763.42, 779,710.74 and 182,724.85

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Solution

The fourth proportional to 519,763.42, 779,710.74 and 182,724.85 is: 274,110.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,763.42 : 779,710.74 = 182,724.85 : x
  2. Step 2: Convert to fraction form
    519,763.42/779,710.74 = 182,724.85/x
  3. Step 3: Cross multiply
    519,763.42x = 779,710.74 × 182,724.85
  4. Step 4: Simplify right side
    519,763.42x = 142,472,528,009.89
  5. Step 5: Solve for x
    x = 142,472,528,009.89/519,763.42
  6. Step 6: Final answer
    x = 274,110.34

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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.