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Finding the Fourth Proportional to 646,369.76, 969,117.24 and 225,416

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Solution

The fourth proportional to 646,369.76, 969,117.24 and 225,416 is: 337,971.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    646,369.76 : 969,117.24 = 225,416 : x
  2. Step 2: Convert to fraction form
    646,369.76/969,117.24 = 225,416/x
  3. Step 3: Cross multiply
    646,369.76x = 969,117.24 × 225,416
  4. Step 4: Simplify right side
    646,369.76x = 218,454,531,771.84
  5. Step 5: Solve for x
    x = 218,454,531,771.84/646,369.76
  6. Step 6: Final answer
    x = 337,971.46

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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.