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Finding the Fourth Proportional to 369,046.94, 509,322.40 and 225,901.58

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Solution

The fourth proportional to 369,046.94, 509,322.40 and 225,901.58 is: 311,767.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,046.94 : 509,322.40 = 225,901.58 : x
  2. Step 2: Convert to fraction form
    369,046.94/509,322.40 = 225,901.58/x
  3. Step 3: Cross multiply
    369,046.94x = 509,322.40 × 225,901.58
  4. Step 4: Simplify right side
    369,046.94x = 115,056,731,778.03
  5. Step 5: Solve for x
    x = 115,056,731,778.03/369,046.94
  6. Step 6: Final answer
    x = 311,767.21

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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.