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Finding the Fourth Proportional to 302,213.82, 417,008.82 and 174,864.81

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Solution

The fourth proportional to 302,213.82, 417,008.82 and 174,864.81 is: 241,286.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,213.82 : 417,008.82 = 174,864.81 : x
  2. Step 2: Convert to fraction form
    302,213.82/417,008.82 = 174,864.81/x
  3. Step 3: Cross multiply
    302,213.82x = 417,008.82 × 174,864.81
  4. Step 4: Simplify right side
    302,213.82x = 72,920,168,077.62
  5. Step 5: Solve for x
    x = 72,920,168,077.62/302,213.82
  6. Step 6: Final answer
    x = 241,286.68

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1.5x scale

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.