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Finding the Fourth Proportional to 522,958.80, 784,344 and 138,710.40

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Solution

The fourth proportional to 522,958.80, 784,344 and 138,710.40 is: 208,040.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    522,958.80 : 784,344 = 138,710.40 : x
  2. Step 2: Convert to fraction form
    522,958.80/784,344 = 138,710.40/x
  3. Step 3: Cross multiply
    522,958.80x = 784,344 × 138,710.40
  4. Step 4: Simplify right side
    522,958.80x = 108,796,669,977.60
  5. Step 5: Solve for x
    x = 108,796,669,977.60/522,958.80
  6. Step 6: Final answer
    x = 208,040.61

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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.