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Finding the Fourth Proportional to 398,068.86, 597,349.34 and 161,413.58

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Solution

The fourth proportional to 398,068.86, 597,349.34 and 161,413.58 is: 242,220.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,068.86 : 597,349.34 = 161,413.58 : x
  2. Step 2: Convert to fraction form
    398,068.86/597,349.34 = 161,413.58/x
  3. Step 3: Cross multiply
    398,068.86x = 597,349.34 × 161,413.58
  4. Step 4: Simplify right side
    398,068.86x = 96,420,295,480.04
  5. Step 5: Solve for x
    x = 96,420,295,480.04/398,068.86
  6. Step 6: Final answer
    x = 242,220.14

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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.