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Finding the Fourth Proportional to 522,860, 784,406.64 and 190,436

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Solution

The fourth proportional to 522,860, 784,406.64 and 190,436 is: 285,696.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    522,860 : 784,406.64 = 190,436 : x
  2. Step 2: Convert to fraction form
    522,860/784,406.64 = 190,436/x
  3. Step 3: Cross multiply
    522,860x = 784,406.64 × 190,436
  4. Step 4: Simplify right side
    522,860x = 149,379,262,895.04
  5. Step 5: Solve for x
    x = 149,379,262,895.04/522,860
  6. Step 6: Final answer
    x = 285,696.48

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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.