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Finding the Fourth Proportional to 403,286.90, 604,910.30 and 150,547.97

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Solution

The fourth proportional to 403,286.90, 604,910.30 and 150,547.97 is: 225,814.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,286.90 : 604,910.30 = 150,547.97 : x
  2. Step 2: Convert to fraction form
    403,286.90/604,910.30 = 150,547.97/x
  3. Step 3: Cross multiply
    403,286.90x = 604,910.30 × 150,547.97
  4. Step 4: Simplify right side
    403,286.90x = 91,068,017,697.09
  5. Step 5: Solve for x
    x = 91,068,017,697.09/403,286.90
  6. Step 6: Final answer
    x = 225,814.47

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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.