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Finding the Fourth Proportional to 604,412.73, 906,306.96 and 177,893.05

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Solution

The fourth proportional to 604,412.73, 906,306.96 and 177,893.05 is: 266,747.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    604,412.73 : 906,306.96 = 177,893.05 : x
  2. Step 2: Convert to fraction form
    604,412.73/906,306.96 = 177,893.05/x
  3. Step 3: Cross multiply
    604,412.73x = 906,306.96 × 177,893.05
  4. Step 4: Simplify right side
    604,412.73x = 161,225,709,350.63
  5. Step 5: Solve for x
    x = 161,225,709,350.63/604,412.73
  6. Step 6: Final answer
    x = 266,747.71

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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.