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Finding the Fourth Proportional to 369,052.38, 509,329.91 and 225,907.02

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Solution

The fourth proportional to 369,052.38, 509,329.91 and 225,907.02 is: 311,774.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,052.38 : 509,329.91 = 225,907.02 : x
  2. Step 2: Convert to fraction form
    369,052.38/509,329.91 = 225,907.02/x
  3. Step 3: Cross multiply
    369,052.38x = 509,329.91 × 225,907.02
  4. Step 4: Simplify right side
    369,052.38x = 115,061,201,035.43
  5. Step 5: Solve for x
    x = 115,061,201,035.43/369,052.38
  6. Step 6: Final answer
    x = 311,774.72

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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.