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Finding the Fourth Proportional to 302,256.49, 417,113.98 and 166,287.53

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Solution

The fourth proportional to 302,256.49, 417,113.98 and 166,287.53 is: 229,476.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,256.49 : 417,113.98 = 166,287.53 : x
  2. Step 2: Convert to fraction form
    302,256.49/417,113.98 = 166,287.53/x
  3. Step 3: Cross multiply
    302,256.49x = 417,113.98 × 166,287.53
  4. Step 4: Simplify right side
    302,256.49x = 69,360,853,462.67
  5. Step 5: Solve for x
    x = 69,360,853,462.67/302,256.49
  6. Step 6: Final answer
    x = 229,476.80

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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.