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Finding the Fourth Proportional to 302,678.29, 417,856.34 and 234,542.31

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Solution

The fourth proportional to 302,678.29, 417,856.34 and 234,542.31 is: 323,792.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,678.29 : 417,856.34 = 234,542.31 : x
  2. Step 2: Convert to fraction form
    302,678.29/417,856.34 = 234,542.31/x
  3. Step 3: Cross multiply
    302,678.29x = 417,856.34 × 234,542.31
  4. Step 4: Simplify right side
    302,678.29x = 98,004,990,251.14
  5. Step 5: Solve for x
    x = 98,004,990,251.14/302,678.29
  6. Step 6: Final answer
    x = 323,792.60

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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.