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Finding the Fourth Proportional to 563,304.72, 844,475.94 and 208,252.56

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Solution

The fourth proportional to 563,304.72, 844,475.94 and 208,252.56 is: 312,200.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    563,304.72 : 844,475.94 = 208,252.56 : x
  2. Step 2: Convert to fraction form
    563,304.72/844,475.94 = 208,252.56/x
  3. Step 3: Cross multiply
    563,304.72x = 844,475.94 × 208,252.56
  4. Step 4: Simplify right side
    563,304.72x = 175,864,276,363.41
  5. Step 5: Solve for x
    x = 175,864,276,363.41/563,304.72
  6. Step 6: Final answer
    x = 312,200.96

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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.