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Finding the Fourth Proportional to 310,097.08, 464,467.46 and 219,866.28

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Solution

The fourth proportional to 310,097.08, 464,467.46 and 219,866.28 is: 329,318.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,097.08 : 464,467.46 = 219,866.28 : x
  2. Step 2: Convert to fraction form
    310,097.08/464,467.46 = 219,866.28/x
  3. Step 3: Cross multiply
    310,097.08x = 464,467.46 × 219,866.28
  4. Step 4: Simplify right side
    310,097.08x = 102,120,732,611.25
  5. Step 5: Solve for x
    x = 102,120,732,611.25/310,097.08
  6. Step 6: Final answer
    x = 329,318.59

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1.5x scale

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.