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Finding the Fourth Proportional to 369,056.38, 509,335.41 and 225,911.02

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Solution

The fourth proportional to 369,056.38, 509,335.41 and 225,911.02 is: 311,780.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,056.38 : 509,335.41 = 225,911.02 : x
  2. Step 2: Convert to fraction form
    369,056.38/509,335.41 = 225,911.02/x
  3. Step 3: Cross multiply
    369,056.38x = 509,335.41 × 225,911.02
  4. Step 4: Simplify right side
    369,056.38x = 115,064,481,995.22
  5. Step 5: Solve for x
    x = 115,064,481,995.22/369,056.38
  6. Step 6: Final answer
    x = 311,780.23

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Why These Related Problems?

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