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Finding the Fourth Proportional to 468,515.14, 702,063.15 and 310,176.34

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Solution

The fourth proportional to 468,515.14, 702,063.15 and 310,176.34 is: 464,794.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,515.14 : 702,063.15 = 310,176.34 : x
  2. Step 2: Convert to fraction form
    468,515.14/702,063.15 = 310,176.34/x
  3. Step 3: Cross multiply
    468,515.14x = 702,063.15 × 310,176.34
  4. Step 4: Simplify right side
    468,515.14x = 217,763,378,315.87
  5. Step 5: Solve for x
    x = 217,763,378,315.87/468,515.14
  6. Step 6: Final answer
    x = 464,794.75

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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.