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Finding the Fourth Proportional to 302,259.49, 417,118.12 and 166,290.53

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Solution

The fourth proportional to 302,259.49, 417,118.12 and 166,290.53 is: 229,480.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,259.49 : 417,118.12 = 166,290.53 : x
  2. Step 2: Convert to fraction form
    302,259.49/417,118.12 = 166,290.53/x
  3. Step 3: Cross multiply
    302,259.49x = 417,118.12 × 166,290.53
  4. Step 4: Simplify right side
    302,259.49x = 69,362,793,247.40
  5. Step 5: Solve for x
    x = 69,362,793,247.40/302,259.49
  6. Step 6: Final answer
    x = 229,480.94

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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.