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Finding the Fourth Proportional to 624,851.70, 862,083.73 and 409,971.70

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Solution

The fourth proportional to 624,851.70, 862,083.73 and 409,971.70 is: 565,622.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    624,851.70 : 862,083.73 = 409,971.70 : x
  2. Step 2: Convert to fraction form
    624,851.70/862,083.73 = 409,971.70/x
  3. Step 3: Cross multiply
    624,851.70x = 862,083.73 × 409,971.70
  4. Step 4: Simplify right side
    624,851.70x = 353,429,932,330.44
  5. Step 5: Solve for x
    x = 353,429,932,330.44/624,851.70
  6. Step 6: Final answer
    x = 565,622.10

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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.