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Finding the Fourth Proportional to 522,578.94, 784,218.33 and 185,605.98

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Solution

The fourth proportional to 522,578.94, 784,218.33 and 185,605.98 is: 278,533.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    522,578.94 : 784,218.33 = 185,605.98 : x
  2. Step 2: Convert to fraction form
    522,578.94/784,218.33 = 185,605.98/x
  3. Step 3: Cross multiply
    522,578.94x = 784,218.33 × 185,605.98
  4. Step 4: Simplify right side
    522,578.94x = 145,555,611,673.61
  5. Step 5: Solve for x
    x = 145,555,611,673.61/522,578.94
  6. Step 6: Final answer
    x = 278,533.25

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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.