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Finding the Fourth Proportional to 656,223.98, 984,417.98 and 256,813.11

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Solution

The fourth proportional to 656,223.98, 984,417.98 and 256,813.11 is: 385,251.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    656,223.98 : 984,417.98 = 256,813.11 : x
  2. Step 2: Convert to fraction form
    656,223.98/984,417.98 = 256,813.11/x
  3. Step 3: Cross multiply
    656,223.98x = 984,417.98 × 256,813.11
  4. Step 4: Simplify right side
    656,223.98x = 252,811,441,699.65
  5. Step 5: Solve for x
    x = 252,811,441,699.65/656,223.98
  6. Step 6: Final answer
    x = 385,251.76

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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.