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Finding the Fourth Proportional to 406,852.96, 610,196.02 and 154,046.23

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Solution

The fourth proportional to 406,852.96, 610,196.02 and 154,046.23 is: 231,037.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,852.96 : 610,196.02 = 154,046.23 : x
  2. Step 2: Convert to fraction form
    406,852.96/610,196.02 = 154,046.23/x
  3. Step 3: Cross multiply
    406,852.96x = 610,196.02 × 154,046.23
  4. Step 4: Simplify right side
    406,852.96x = 93,998,396,442.00
  5. Step 5: Solve for x
    x = 93,998,396,442.00/406,852.96
  6. Step 6: Final answer
    x = 231,037.76

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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.