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Finding the Fourth Proportional to 302,814.30, 454,221.45 and 184,424.70

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Solution

The fourth proportional to 302,814.30, 454,221.45 and 184,424.70 is: 276,637.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,814.30 : 454,221.45 = 184,424.70 : x
  2. Step 2: Convert to fraction form
    302,814.30/454,221.45 = 184,424.70/x
  3. Step 3: Cross multiply
    302,814.30x = 454,221.45 × 184,424.70
  4. Step 4: Simplify right side
    302,814.30x = 83,769,654,649.82
  5. Step 5: Solve for x
    x = 83,769,654,649.82/302,814.30
  6. Step 6: Final answer
    x = 276,637.05

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.