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Finding the Fourth Proportional to 522,600.24, 783,978.26 and 185,612.58

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Solution

The fourth proportional to 522,600.24, 783,978.26 and 185,612.58 is: 278,446.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    522,600.24 : 783,978.26 = 185,612.58 : x
  2. Step 2: Convert to fraction form
    522,600.24/783,978.26 = 185,612.58/x
  3. Step 3: Cross multiply
    522,600.24x = 783,978.26 × 185,612.58
  4. Step 4: Simplify right side
    522,600.24x = 145,516,226,574.45
  5. Step 5: Solve for x
    x = 145,516,226,574.45/522,600.24
  6. Step 6: Final answer
    x = 278,446.54

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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.