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Finding the Fourth Proportional to 309,905.20, 464,857.80 and 209,521.90

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Solution

The fourth proportional to 309,905.20, 464,857.80 and 209,521.90 is: 314,282.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,905.20 : 464,857.80 = 209,521.90 : x
  2. Step 2: Convert to fraction form
    309,905.20/464,857.80 = 209,521.90/x
  3. Step 3: Cross multiply
    309,905.20x = 464,857.80 × 209,521.90
  4. Step 4: Simplify right side
    309,905.20x = 97,397,889,485.82
  5. Step 5: Solve for x
    x = 97,397,889,485.82/309,905.20
  6. Step 6: Final answer
    x = 314,282.85

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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.