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Finding the Fourth Proportional to 475,880.34, 656,715.81 and 261,022.17

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Solution

The fourth proportional to 475,880.34, 656,715.81 and 261,022.17 is: 360,211.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,880.34 : 656,715.81 = 261,022.17 : x
  2. Step 2: Convert to fraction form
    475,880.34/656,715.81 = 261,022.17/x
  3. Step 3: Cross multiply
    475,880.34x = 656,715.81 × 261,022.17
  4. Step 4: Simplify right side
    475,880.34x = 171,417,382,515.93
  5. Step 5: Solve for x
    x = 171,417,382,515.93/475,880.34
  6. Step 6: Final answer
    x = 360,211.11

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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.