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Finding the Fourth Proportional to 365,023.72, 503,678.82 and 214,169.32

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Solution

The fourth proportional to 365,023.72, 503,678.82 and 214,169.32 is: 295,522.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,023.72 : 503,678.82 = 214,169.32 : x
  2. Step 2: Convert to fraction form
    365,023.72/503,678.82 = 214,169.32/x
  3. Step 3: Cross multiply
    365,023.72x = 503,678.82 × 214,169.32
  4. Step 4: Simplify right side
    365,023.72x = 107,872,550,377.80
  5. Step 5: Solve for x
    x = 107,872,550,377.80/365,023.72
  6. Step 6: Final answer
    x = 295,522.03

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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.