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Finding the Fourth Proportional to 406,701, 610,140.84 and 166,816.32

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Solution

The fourth proportional to 406,701, 610,140.84 and 166,816.32 is: 250,261.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,701 : 610,140.84 = 166,816.32 : x
  2. Step 2: Convert to fraction form
    406,701/610,140.84 = 166,816.32/x
  3. Step 3: Cross multiply
    406,701x = 610,140.84 × 166,816.32
  4. Step 4: Simplify right side
    406,701x = 101,781,449,610.51
  5. Step 5: Solve for x
    x = 101,781,449,610.51/406,701
  6. Step 6: Final answer
    x = 250,261.12

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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.