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Finding the Fourth Proportional to 419,328.37, 628,410.63 and 191,066.15

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Solution

The fourth proportional to 419,328.37, 628,410.63 and 191,066.15 is: 286,334.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,328.37 : 628,410.63 = 191,066.15 : x
  2. Step 2: Convert to fraction form
    419,328.37/628,410.63 = 191,066.15/x
  3. Step 3: Cross multiply
    419,328.37x = 628,410.63 × 191,066.15
  4. Step 4: Simplify right side
    419,328.37x = 120,067,999,693.18
  5. Step 5: Solve for x
    x = 120,067,999,693.18/419,328.37
  6. Step 6: Final answer
    x = 286,334.07

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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.