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Finding the Fourth Proportional to 302,768.88, 417,815.64 and 168,630

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Solution

The fourth proportional to 302,768.88, 417,815.64 and 168,630 is: 232,706.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,768.88 : 417,815.64 = 168,630 : x
  2. Step 2: Convert to fraction form
    302,768.88/417,815.64 = 168,630/x
  3. Step 3: Cross multiply
    302,768.88x = 417,815.64 × 168,630
  4. Step 4: Simplify right side
    302,768.88x = 70,456,251,373.20
  5. Step 5: Solve for x
    x = 70,456,251,373.20/302,768.88
  6. Step 6: Final answer
    x = 232,706.38

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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.