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Finding the Fourth Proportional to 519,479.76, 779,297.55 and 182,461

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Solution

The fourth proportional to 519,479.76, 779,297.55 and 182,461 is: 273,718.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,479.76 : 779,297.55 = 182,461 : x
  2. Step 2: Convert to fraction form
    519,479.76/779,297.55 = 182,461/x
  3. Step 3: Cross multiply
    519,479.76x = 779,297.55 × 182,461
  4. Step 4: Simplify right side
    519,479.76x = 142,191,410,270.55
  5. Step 5: Solve for x
    x = 142,191,410,270.55/519,479.76
  6. Step 6: Final answer
    x = 273,718.86

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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.