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Finding the Fourth Proportional to 406,705.18, 610,054.69 and 122,394.50

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Solution

The fourth proportional to 406,705.18, 610,054.69 and 122,394.50 is: 183,590.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,705.18 : 610,054.69 = 122,394.50 : x
  2. Step 2: Convert to fraction form
    406,705.18/610,054.69 = 122,394.50/x
  3. Step 3: Cross multiply
    406,705.18x = 610,054.69 × 122,394.50
  4. Step 4: Simplify right side
    406,705.18x = 74,667,338,755.21
  5. Step 5: Solve for x
    x = 74,667,338,755.21/406,705.18
  6. Step 6: Final answer
    x = 183,590.82

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.