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Finding the Fourth Proportional to 343,783.60, 474,414 and 190,812.88

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Solution

The fourth proportional to 343,783.60, 474,414 and 190,812.88 is: 263,317.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,783.60 : 474,414 = 190,812.88 : x
  2. Step 2: Convert to fraction form
    343,783.60/474,414 = 190,812.88/x
  3. Step 3: Cross multiply
    343,783.60x = 474,414 × 190,812.88
  4. Step 4: Simplify right side
    343,783.60x = 90,524,301,652.32
  5. Step 5: Solve for x
    x = 90,524,301,652.32/343,783.60
  6. Step 6: Final answer
    x = 263,317.68

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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.