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Finding the Fourth Proportional to 312,882.28, 432,133.92 and 212,105.32

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Solution

The fourth proportional to 312,882.28, 432,133.92 and 212,105.32 is: 292,946.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,882.28 : 432,133.92 = 212,105.32 : x
  2. Step 2: Convert to fraction form
    312,882.28/432,133.92 = 212,105.32/x
  3. Step 3: Cross multiply
    312,882.28x = 432,133.92 × 212,105.32
  4. Step 4: Simplify right side
    312,882.28x = 91,657,903,384.45
  5. Step 5: Solve for x
    x = 91,657,903,384.45/312,882.28
  6. Step 6: Final answer
    x = 292,946.93

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.