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Finding the Fourth Proportional to 302,677.40, 417,697.64 and 166,711.84

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Solution

The fourth proportional to 302,677.40, 417,697.64 and 166,711.84 is: 230,063.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,677.40 : 417,697.64 = 166,711.84 : x
  2. Step 2: Convert to fraction form
    302,677.40/417,697.64 = 166,711.84/x
  3. Step 3: Cross multiply
    302,677.40x = 417,697.64 × 166,711.84
  4. Step 4: Simplify right side
    302,677.40x = 69,635,143,223.68
  5. Step 5: Solve for x
    x = 69,635,143,223.68/302,677.40
  6. Step 6: Final answer
    x = 230,063.90

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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.