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Finding the Fourth Proportional to 415,527.68, 622,799.28 and 190,698.64

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Solution

The fourth proportional to 415,527.68, 622,799.28 and 190,698.64 is: 285,822.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,527.68 : 622,799.28 = 190,698.64 : x
  2. Step 2: Convert to fraction form
    415,527.68/622,799.28 = 190,698.64/x
  3. Step 3: Cross multiply
    415,527.68x = 622,799.28 × 190,698.64
  4. Step 4: Simplify right side
    415,527.68x = 118,766,975,688.98
  5. Step 5: Solve for x
    x = 118,766,975,688.98/415,527.68
  6. Step 6: Final answer
    x = 285,822.06

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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.