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Finding the Fourth Proportional to 551,413.20, 827,263.80 and 177,445.20

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Solution

The fourth proportional to 551,413.20, 827,263.80 and 177,445.20 is: 266,214.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    551,413.20 : 827,263.80 = 177,445.20 : x
  2. Step 2: Convert to fraction form
    551,413.20/827,263.80 = 177,445.20/x
  3. Step 3: Cross multiply
    551,413.20x = 827,263.80 × 177,445.20
  4. Step 4: Simplify right side
    551,413.20x = 146,793,990,443.76
  5. Step 5: Solve for x
    x = 146,793,990,443.76/551,413.20
  6. Step 6: Final answer
    x = 266,214.14

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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.