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Finding the Fourth Proportional to 384,353.72, 530,397.08 and 214,584.20

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Solution

The fourth proportional to 384,353.72, 530,397.08 and 214,584.20 is: 296,120.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,353.72 : 530,397.08 = 214,584.20 : x
  2. Step 2: Convert to fraction form
    384,353.72/530,397.08 = 214,584.20/x
  3. Step 3: Cross multiply
    384,353.72x = 530,397.08 × 214,584.20
  4. Step 4: Simplify right side
    384,353.72x = 113,814,833,094.14
  5. Step 5: Solve for x
    x = 113,814,833,094.14/384,353.72
  6. Step 6: Final answer
    x = 296,120.02

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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.