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Finding the Fourth Proportional to 357,466.66, 493,347.73 and 206,563.66

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Solution

The fourth proportional to 357,466.66, 493,347.73 and 206,563.66 is: 285,083.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,466.66 : 493,347.73 = 206,563.66 : x
  2. Step 2: Convert to fraction form
    357,466.66/493,347.73 = 206,563.66/x
  3. Step 3: Cross multiply
    357,466.66x = 493,347.73 × 206,563.66
  4. Step 4: Simplify right side
    357,466.66x = 101,907,712,761.49
  5. Step 5: Solve for x
    x = 101,907,712,761.49/357,466.66
  6. Step 6: Final answer
    x = 285,083.13

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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.