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Finding the Fourth Proportional to 302,218.70, 417,062.76 and 166,263.00

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Solution

The fourth proportional to 302,218.70, 417,062.76 and 166,263.00 is: 229,443.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,218.70 : 417,062.76 = 166,263.00 : x
  2. Step 2: Convert to fraction form
    302,218.70/417,062.76 = 166,263.00/x
  3. Step 3: Cross multiply
    302,218.70x = 417,062.76 × 166,263.00
  4. Step 4: Simplify right side
    302,218.70x = 69,342,103,478.41
  5. Step 5: Solve for x
    x = 69,342,103,478.41/302,218.70
  6. Step 6: Final answer
    x = 229,443.46

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.