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Finding the Fourth Proportional to 302,666.96, 417,480.38 and 189,292.88

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Solution

The fourth proportional to 302,666.96, 417,480.38 and 189,292.88 is: 261,099.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,666.96 : 417,480.38 = 189,292.88 : x
  2. Step 2: Convert to fraction form
    302,666.96/417,480.38 = 189,292.88/x
  3. Step 3: Cross multiply
    302,666.96x = 417,480.38 × 189,292.88
  4. Step 4: Simplify right side
    302,666.96x = 79,026,063,473.69
  5. Step 5: Solve for x
    x = 79,026,063,473.69/302,666.96
  6. Step 6: Final answer
    x = 261,099.08

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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.