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Finding the Fourth Proportional to 522,533.16, 782,470.26 and 344,500.02

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Solution

The fourth proportional to 522,533.16, 782,470.26 and 344,500.02 is: 515,873.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    522,533.16 : 782,470.26 = 344,500.02 : x
  2. Step 2: Convert to fraction form
    522,533.16/782,470.26 = 344,500.02/x
  3. Step 3: Cross multiply
    522,533.16x = 782,470.26 × 344,500.02
  4. Step 4: Simplify right side
    522,533.16x = 269,561,020,219.41
  5. Step 5: Solve for x
    x = 269,561,020,219.41/522,533.16
  6. Step 6: Final answer
    x = 515,873.52

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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.