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Finding the Fourth Proportional to 415,706.72, 573,667.25 and 234,415.35

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Solution

The fourth proportional to 415,706.72, 573,667.25 and 234,415.35 is: 323,488.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,706.72 : 573,667.25 = 234,415.35 : x
  2. Step 2: Convert to fraction form
    415,706.72/573,667.25 = 234,415.35/x
  3. Step 3: Cross multiply
    415,706.72x = 573,667.25 × 234,415.35
  4. Step 4: Simplify right side
    415,706.72x = 134,476,408,020.21
  5. Step 5: Solve for x
    x = 134,476,408,020.21/415,706.72
  6. Step 6: Final answer
    x = 323,488.66

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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.