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Finding the Fourth Proportional to 309,726, 464,275.26 and 209,896.32

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Solution

The fourth proportional to 309,726, 464,275.26 and 209,896.32 is: 314,631.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,726 : 464,275.26 = 209,896.32 : x
  2. Step 2: Convert to fraction form
    309,726/464,275.26 = 209,896.32/x
  3. Step 3: Cross multiply
    309,726x = 464,275.26 × 209,896.32
  4. Step 4: Simplify right side
    309,726x = 97,449,668,541.04
  5. Step 5: Solve for x
    x = 97,449,668,541.04/309,726
  6. Step 6: Final answer
    x = 314,631.86

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.