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Finding the Fourth Proportional to 563,078.98, 844,743.05 and 310,229.28

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Solution

The fourth proportional to 563,078.98, 844,743.05 and 310,229.28 is: 465,412.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    563,078.98 : 844,743.05 = 310,229.28 : x
  2. Step 2: Convert to fraction form
    563,078.98/844,743.05 = 310,229.28/x
  3. Step 3: Cross multiply
    563,078.98x = 844,743.05 × 310,229.28
  4. Step 4: Simplify right side
    563,078.98x = 262,064,028,186.50
  5. Step 5: Solve for x
    x = 262,064,028,186.50/563,078.98
  6. Step 6: Final answer
    x = 465,412.56

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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.