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Finding the Fourth Proportional to 383,593.43, 575,413.16 and 117,356.24

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Solution

The fourth proportional to 383,593.43, 575,413.16 and 117,356.24 is: 176,041.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,593.43 : 575,413.16 = 117,356.24 : x
  2. Step 2: Convert to fraction form
    383,593.43/575,413.16 = 117,356.24/x
  3. Step 3: Cross multiply
    383,593.43x = 575,413.16 × 117,356.24
  4. Step 4: Simplify right side
    383,593.43x = 67,528,324,904.12
  5. Step 5: Solve for x
    x = 67,528,324,904.12/383,593.43
  6. Step 6: Final answer
    x = 176,041.40

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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.