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Finding the Fourth Proportional to 562,413.62, 842,774.78 and 225,119.90

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Solution

The fourth proportional to 562,413.62, 842,774.78 and 225,119.90 is: 337,341.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    562,413.62 : 842,774.78 = 225,119.90 : x
  2. Step 2: Convert to fraction form
    562,413.62/842,774.78 = 225,119.90/x
  3. Step 3: Cross multiply
    562,413.62x = 842,774.78 × 225,119.90
  4. Step 4: Simplify right side
    562,413.62x = 189,725,374,196.12
  5. Step 5: Solve for x
    x = 189,725,374,196.12/562,413.62
  6. Step 6: Final answer
    x = 337,341.36

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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.