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Finding the Fourth Proportional to 276,275.22, 412,840.14 and 207,438

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Solution

The fourth proportional to 276,275.22, 412,840.14 and 207,438 is: 309,976.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,275.22 : 412,840.14 = 207,438 : x
  2. Step 2: Convert to fraction form
    276,275.22/412,840.14 = 207,438/x
  3. Step 3: Cross multiply
    276,275.22x = 412,840.14 × 207,438
  4. Step 4: Simplify right side
    276,275.22x = 85,638,732,961.32
  5. Step 5: Solve for x
    x = 85,638,732,961.32/276,275.22
  6. Step 6: Final answer
    x = 309,976.16

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.