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Finding the Fourth Proportional to 302,875.40, 417,970.82 and 166,914.28

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Solution

The fourth proportional to 302,875.40, 417,970.82 and 166,914.28 is: 230,343.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,875.40 : 417,970.82 = 166,914.28 : x
  2. Step 2: Convert to fraction form
    302,875.40/417,970.82 = 166,914.28/x
  3. Step 3: Cross multiply
    302,875.40x = 417,970.82 × 166,914.28
  4. Step 4: Simplify right side
    302,875.40x = 69,765,298,481.31
  5. Step 5: Solve for x
    x = 69,765,298,481.31/302,875.40
  6. Step 6: Final answer
    x = 230,343.23

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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.