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Finding the Fourth Proportional to 361,502.37, 542,366.91 and 217,565.24

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Solution

The fourth proportional to 361,502.37, 542,366.91 and 217,565.24 is: 326,416.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,502.37 : 542,366.91 = 217,565.24 : x
  2. Step 2: Convert to fraction form
    361,502.37/542,366.91 = 217,565.24/x
  3. Step 3: Cross multiply
    361,502.37x = 542,366.91 × 217,565.24
  4. Step 4: Simplify right side
    361,502.37x = 118,000,184,230.37
  5. Step 5: Solve for x
    x = 118,000,184,230.37/361,502.37
  6. Step 6: Final answer
    x = 326,416.07

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.