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Finding the Fourth Proportional to 466,413.46, 699,642.06 and 150,895

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Solution

The fourth proportional to 466,413.46, 699,642.06 and 150,895 is: 226,349.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    466,413.46 : 699,642.06 = 150,895 : x
  2. Step 2: Convert to fraction form
    466,413.46/699,642.06 = 150,895/x
  3. Step 3: Cross multiply
    466,413.46x = 699,642.06 × 150,895
  4. Step 4: Simplify right side
    466,413.46x = 105,572,488,643.70
  5. Step 5: Solve for x
    x = 105,572,488,643.70/466,413.46
  6. Step 6: Final answer
    x = 226,349.58

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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.