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Finding the Fourth Proportional to 411,666.87, 617,413.91 and 116,109.75

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Solution

The fourth proportional to 411,666.87, 617,413.91 and 116,109.75 is: 174,140.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,666.87 : 617,413.91 = 116,109.75 : x
  2. Step 2: Convert to fraction form
    411,666.87/617,413.91 = 116,109.75/x
  3. Step 3: Cross multiply
    411,666.87x = 617,413.91 × 116,109.75
  4. Step 4: Simplify right side
    411,666.87x = 71,687,774,156.07
  5. Step 5: Solve for x
    x = 71,687,774,156.07/411,666.87
  6. Step 6: Final answer
    x = 174,140.26

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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.