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Finding the Fourth Proportional to 302,866.32, 417,940.56 and 175,583.28

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Solution

The fourth proportional to 302,866.32, 417,940.56 and 175,583.28 is: 242,296.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,866.32 : 417,940.56 = 175,583.28 : x
  2. Step 2: Convert to fraction form
    302,866.32/417,940.56 = 175,583.28/x
  3. Step 3: Cross multiply
    302,866.32x = 417,940.56 × 175,583.28
  4. Step 4: Simplify right side
    302,866.32x = 73,383,374,369.84
  5. Step 5: Solve for x
    x = 73,383,374,369.84/302,866.32
  6. Step 6: Final answer
    x = 242,296.25

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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.