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Finding the Fourth Proportional to 659,747.86, 989,661.78 and 186,468.64

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Solution

The fourth proportional to 659,747.86, 989,661.78 and 186,468.64 is: 279,714.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    659,747.86 : 989,661.78 = 186,468.64 : x
  2. Step 2: Convert to fraction form
    659,747.86/989,661.78 = 186,468.64/x
  3. Step 3: Cross multiply
    659,747.86x = 989,661.78 × 186,468.64
  4. Step 4: Simplify right side
    659,747.86x = 184,540,886,176.58
  5. Step 5: Solve for x
    x = 184,540,886,176.58/659,747.86
  6. Step 6: Final answer
    x = 279,714.26

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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.