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Finding the Fourth Proportional to 417,223.08, 626,061.69 and 177,299.46

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Solution

The fourth proportional to 417,223.08, 626,061.69 and 177,299.46 is: 266,045.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,223.08 : 626,061.69 = 177,299.46 : x
  2. Step 2: Convert to fraction form
    417,223.08/626,061.69 = 177,299.46/x
  3. Step 3: Cross multiply
    417,223.08x = 626,061.69 × 177,299.46
  4. Step 4: Simplify right side
    417,223.08x = 111,000,399,563.69
  5. Step 5: Solve for x
    x = 111,000,399,563.69/417,223.08
  6. Step 6: Final answer
    x = 266,045.68

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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.