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Finding the Fourth Proportional to 302,712.54, 417,660.16 and 210,728.74

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Solution

The fourth proportional to 302,712.54, 417,660.16 and 210,728.74 is: 290,747.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,712.54 : 417,660.16 = 210,728.74 : x
  2. Step 2: Convert to fraction form
    302,712.54/417,660.16 = 210,728.74/x
  3. Step 3: Cross multiply
    302,712.54x = 417,660.16 × 210,728.74
  4. Step 4: Simplify right side
    302,712.54x = 88,012,999,265.00
  5. Step 5: Solve for x
    x = 88,012,999,265.00/302,712.54
  6. Step 6: Final answer
    x = 290,747.78

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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.