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Finding the Fourth Proportional to 304,092.28, 456,212.80 and 214,310.16

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Solution

The fourth proportional to 304,092.28, 456,212.80 and 214,310.16 is: 321,517.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,092.28 : 456,212.80 = 214,310.16 : x
  2. Step 2: Convert to fraction form
    304,092.28/456,212.80 = 214,310.16/x
  3. Step 3: Cross multiply
    304,092.28x = 456,212.80 × 214,310.16
  4. Step 4: Simplify right side
    304,092.28x = 97,771,038,162.05
  5. Step 5: Solve for x
    x = 97,771,038,162.05/304,092.28
  6. Step 6: Final answer
    x = 321,517.66

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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.