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Finding the Fourth Proportional to 309,625.10, 464,437.65 and 99,413.90

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Solution

The fourth proportional to 309,625.10, 464,437.65 and 99,413.90 is: 149,120.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,625.10 : 464,437.65 = 99,413.90 : x
  2. Step 2: Convert to fraction form
    309,625.10/464,437.65 = 99,413.90/x
  3. Step 3: Cross multiply
    309,625.10x = 464,437.65 × 99,413.90
  4. Step 4: Simplify right side
    309,625.10x = 46,171,558,093.34
  5. Step 5: Solve for x
    x = 46,171,558,093.34/309,625.10
  6. Step 6: Final answer
    x = 149,120.85

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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.