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Finding the Fourth Proportional to 406,856.96, 610,202.04 and 154,050.24

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Solution

The fourth proportional to 406,856.96, 610,202.04 and 154,050.24 is: 231,043.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,856.96 : 610,202.04 = 154,050.24 : x
  2. Step 2: Convert to fraction form
    406,856.96/610,202.04 = 154,050.24/x
  3. Step 3: Cross multiply
    406,856.96x = 610,202.04 × 154,050.24
  4. Step 4: Simplify right side
    406,856.96x = 94,001,770,710.49
  5. Step 5: Solve for x
    x = 94,001,770,710.49/406,856.96
  6. Step 6: Final answer
    x = 231,043.78

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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.