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Finding the Fourth Proportional to 302,335.14, 417,280.32 and 200,180.46

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Solution

The fourth proportional to 302,335.14, 417,280.32 and 200,180.46 is: 276,287.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,335.14 : 417,280.32 = 200,180.46 : x
  2. Step 2: Convert to fraction form
    302,335.14/417,280.32 = 200,180.46/x
  3. Step 3: Cross multiply
    302,335.14x = 417,280.32 × 200,180.46
  4. Step 4: Simplify right side
    302,335.14x = 83,531,366,406.55
  5. Step 5: Solve for x
    x = 83,531,366,406.55/302,335.14
  6. Step 6: Final answer
    x = 276,287.32

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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.