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Finding the Fourth Proportional to 624,853.70, 862,086.49 and 409,973.70

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Solution

The fourth proportional to 624,853.70, 862,086.49 and 409,973.70 is: 565,624.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    624,853.70 : 862,086.49 = 409,973.70 : x
  2. Step 2: Convert to fraction form
    624,853.70/862,086.49 = 409,973.70/x
  3. Step 3: Cross multiply
    624,853.70x = 862,086.49 × 409,973.70
  4. Step 4: Simplify right side
    624,853.70x = 353,432,788,025.31
  5. Step 5: Solve for x
    x = 353,432,788,025.31/624,853.70
  6. Step 6: Final answer
    x = 565,624.86

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.