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Finding the Fourth Proportional to 415,853.21, 573,876.74 and 234,564.57

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Solution

The fourth proportional to 415,853.21, 573,876.74 and 234,564.57 is: 323,698.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,853.21 : 573,876.74 = 234,564.57 : x
  2. Step 2: Convert to fraction form
    415,853.21/573,876.74 = 234,564.57/x
  3. Step 3: Cross multiply
    415,853.21x = 573,876.74 × 234,564.57
  4. Step 4: Simplify right side
    415,853.21x = 134,611,149,578.28
  5. Step 5: Solve for x
    x = 134,611,149,578.28/415,853.21
  6. Step 6: Final answer
    x = 323,698.72

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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.