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Finding the Fourth Proportional to 302,880.30, 417,972.87 and 166,915.32

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Solution

The fourth proportional to 302,880.30, 417,972.87 and 166,915.32 is: 230,342.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,880.30 : 417,972.87 = 166,915.32 : x
  2. Step 2: Convert to fraction form
    302,880.30/417,972.87 = 166,915.32/x
  3. Step 3: Cross multiply
    302,880.30x = 417,972.87 × 166,915.32
  4. Step 4: Simplify right side
    302,880.30x = 69,766,075,347.37
  5. Step 5: Solve for x
    x = 69,766,075,347.37/302,880.30
  6. Step 6: Final answer
    x = 230,342.07

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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.