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Finding the Fourth Proportional to 522,599.49, 783,977.13 and 185,611.83

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Solution

The fourth proportional to 522,599.49, 783,977.13 and 185,611.83 is: 278,445.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    522,599.49 : 783,977.13 = 185,611.83 : x
  2. Step 2: Convert to fraction form
    522,599.49/783,977.13 = 185,611.83/x
  3. Step 3: Cross multiply
    522,599.49x = 783,977.13 × 185,611.83
  4. Step 4: Simplify right side
    522,599.49x = 145,515,429,777.45
  5. Step 5: Solve for x
    x = 145,515,429,777.45/522,599.49
  6. Step 6: Final answer
    x = 278,445.41

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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.