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Finding the Fourth Proportional to 283,297.98, 424,847.94 and 83,565.34

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Solution

The fourth proportional to 283,297.98, 424,847.94 and 83,565.34 is: 125,318.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,297.98 : 424,847.94 = 83,565.34 : x
  2. Step 2: Convert to fraction form
    283,297.98/424,847.94 = 83,565.34/x
  3. Step 3: Cross multiply
    283,297.98x = 424,847.94 × 83,565.34
  4. Step 4: Simplify right side
    283,297.98x = 35,502,562,554.40
  5. Step 5: Solve for x
    x = 35,502,562,554.40/283,297.98
  6. Step 6: Final answer
    x = 125,318.80

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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.