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Finding the Fourth Proportional to 314,196.77, 470,700.51 and 185,728.44

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Solution

The fourth proportional to 314,196.77, 470,700.51 and 185,728.44 is: 278,241.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,196.77 : 470,700.51 = 185,728.44 : x
  2. Step 2: Convert to fraction form
    314,196.77/470,700.51 = 185,728.44/x
  3. Step 3: Cross multiply
    314,196.77x = 470,700.51 × 185,728.44
  4. Step 4: Simplify right side
    314,196.77x = 87,422,470,500.86
  5. Step 5: Solve for x
    x = 87,422,470,500.86/314,196.77
  6. Step 6: Final answer
    x = 278,241.15

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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.