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Finding the Fourth Proportional to 422,883.48, 583,578.84 and 229,297.58

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Solution

The fourth proportional to 422,883.48, 583,578.84 and 229,297.58 is: 316,430.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,883.48 : 583,578.84 = 229,297.58 : x
  2. Step 2: Convert to fraction form
    422,883.48/583,578.84 = 229,297.58/x
  3. Step 3: Cross multiply
    422,883.48x = 583,578.84 × 229,297.58
  4. Step 4: Simplify right side
    422,883.48x = 133,813,215,751.21
  5. Step 5: Solve for x
    x = 133,813,215,751.21/422,883.48
  6. Step 6: Final answer
    x = 316,430.46

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1.5x scale

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.