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Finding the Fourth Proportional to 397,835.38, 549,027.32 and 216,538.55

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Solution

The fourth proportional to 397,835.38, 549,027.32 and 216,538.55 is: 298,831.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,835.38 : 549,027.32 = 216,538.55 : x
  2. Step 2: Convert to fraction form
    397,835.38/549,027.32 = 216,538.55/x
  3. Step 3: Cross multiply
    397,835.38x = 549,027.32 × 216,538.55
  4. Step 4: Simplify right side
    397,835.38x = 118,885,578,014.21
  5. Step 5: Solve for x
    x = 118,885,578,014.21/397,835.38
  6. Step 6: Final answer
    x = 298,831.08

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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.