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Finding the Fourth Proportional to 711,090.24, 981,551.52 and 409,404.48

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Solution

The fourth proportional to 711,090.24, 981,551.52 and 409,404.48 is: 565,120.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    711,090.24 : 981,551.52 = 409,404.48 : x
  2. Step 2: Convert to fraction form
    711,090.24/981,551.52 = 409,404.48/x
  3. Step 3: Cross multiply
    711,090.24x = 981,551.52 × 409,404.48
  4. Step 4: Simplify right side
    711,090.24x = 401,851,589,638.81
  5. Step 5: Solve for x
    x = 401,851,589,638.81/711,090.24
  6. Step 6: Final answer
    x = 565,120.38

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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.