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Finding the Fourth Proportional to 406,948.70, 610,413.45 and 111,460.70

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Solution

The fourth proportional to 406,948.70, 610,413.45 and 111,460.70 is: 167,188.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,948.70 : 610,413.45 = 111,460.70 : x
  2. Step 2: Convert to fraction form
    406,948.70/610,413.45 = 111,460.70/x
  3. Step 3: Cross multiply
    406,948.70x = 610,413.45 × 111,460.70
  4. Step 4: Simplify right side
    406,948.70x = 68,037,110,426.42
  5. Step 5: Solve for x
    x = 68,037,110,426.42/406,948.70
  6. Step 6: Final answer
    x = 167,188.42

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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.