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Finding the Fourth Proportional to 364,768.60, 547,076.10 and 154,413.40

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Solution

The fourth proportional to 364,768.60, 547,076.10 and 154,413.40 is: 231,587.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,768.60 : 547,076.10 = 154,413.40 : x
  2. Step 2: Convert to fraction form
    364,768.60/547,076.10 = 154,413.40/x
  3. Step 3: Cross multiply
    364,768.60x = 547,076.10 × 154,413.40
  4. Step 4: Simplify right side
    364,768.60x = 84,475,880,659.74
  5. Step 5: Solve for x
    x = 84,475,880,659.74/364,768.60
  6. Step 6: Final answer
    x = 231,587.59

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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.