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Finding the Fourth Proportional to 413,413.86, 570,517.11 and 232,165.02

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Solution

The fourth proportional to 413,413.86, 570,517.11 and 232,165.02 is: 320,391.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,413.86 : 570,517.11 = 232,165.02 : x
  2. Step 2: Convert to fraction form
    413,413.86/570,517.11 = 232,165.02/x
  3. Step 3: Cross multiply
    413,413.86x = 570,517.11 × 232,165.02
  4. Step 4: Simplify right side
    413,413.86x = 132,454,116,253.49
  5. Step 5: Solve for x
    x = 132,454,116,253.49/413,413.86
  6. Step 6: Final answer
    x = 320,391.09

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.