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Finding the Fourth Proportional to 703,593, 1,055,389.50 and 309,609

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Solution

The fourth proportional to 703,593, 1,055,389.50 and 309,609 is: 464,413.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    703,593 : 1,055,389.50 = 309,609 : x
  2. Step 2: Convert to fraction form
    703,593/1,055,389.50 = 309,609/x
  3. Step 3: Cross multiply
    703,593x = 1,055,389.50 × 309,609
  4. Step 4: Simplify right side
    703,593x = 326,758,087,705.50
  5. Step 5: Solve for x
    x = 326,758,087,705.50/703,593
  6. Step 6: Final answer
    x = 464,413.50

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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.