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Finding the Fourth Proportional to 710,461.48, 1,065,662.94 and 394,717

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Solution

The fourth proportional to 710,461.48, 1,065,662.94 and 394,717 is: 592,059.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    710,461.48 : 1,065,662.94 = 394,717 : x
  2. Step 2: Convert to fraction form
    710,461.48/1,065,662.94 = 394,717/x
  3. Step 3: Cross multiply
    710,461.48x = 1,065,662.94 × 394,717
  4. Step 4: Simplify right side
    710,461.48x = 420,635,278,687.98
  5. Step 5: Solve for x
    x = 420,635,278,687.98/710,461.48
  6. Step 6: Final answer
    x = 592,059.23

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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.