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Finding the Fourth Proportional to 801,902, 1,106,624.76 and 444,206

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Solution

The fourth proportional to 801,902, 1,106,624.76 and 444,206 is: 613,004.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    801,902 : 1,106,624.76 = 444,206 : x
  2. Step 2: Convert to fraction form
    801,902/1,106,624.76 = 444,206/x
  3. Step 3: Cross multiply
    801,902x = 1,106,624.76 × 444,206
  4. Step 4: Simplify right side
    801,902x = 491,569,358,140.56
  5. Step 5: Solve for x
    x = 491,569,358,140.56/801,902
  6. Step 6: Final answer
    x = 613,004.28

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.