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Finding the Fourth Proportional to 302,653.24, 417,630.56 and 186,348.24

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Solution

The fourth proportional to 302,653.24, 417,630.56 and 186,348.24 is: 257,141.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,653.24 : 417,630.56 = 186,348.24 : x
  2. Step 2: Convert to fraction form
    302,653.24/417,630.56 = 186,348.24/x
  3. Step 3: Cross multiply
    302,653.24x = 417,630.56 × 186,348.24
  4. Step 4: Simplify right side
    302,653.24x = 77,824,719,826.21
  5. Step 5: Solve for x
    x = 77,824,719,826.21/302,653.24
  6. Step 6: Final answer
    x = 257,141.54

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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.