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Finding the Fourth Proportional to 422,853.94, 583,540.77 and 229,263.13

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Solution

The fourth proportional to 422,853.94, 583,540.77 and 229,263.13 is: 316,384.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,853.94 : 583,540.77 = 229,263.13 : x
  2. Step 2: Convert to fraction form
    422,853.94/583,540.77 = 229,263.13/x
  3. Step 3: Cross multiply
    422,853.94x = 583,540.77 × 229,263.13
  4. Step 4: Simplify right side
    422,853.94x = 133,784,383,412.81
  5. Step 5: Solve for x
    x = 133,784,383,412.81/422,853.94
  6. Step 6: Final answer
    x = 316,384.38

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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.