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Finding the Fourth Proportional to 397,831.25, 549,018.80 and 216,555

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Solution

The fourth proportional to 397,831.25, 549,018.80 and 216,555 is: 298,852.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,831.25 : 549,018.80 = 216,555 : x
  2. Step 2: Convert to fraction form
    397,831.25/549,018.80 = 216,555/x
  3. Step 3: Cross multiply
    397,831.25x = 549,018.80 × 216,555
  4. Step 4: Simplify right side
    397,831.25x = 118,892,765,151.23
  5. Step 5: Solve for x
    x = 118,892,765,151.23/397,831.25
  6. Step 6: Final answer
    x = 298,852.26

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.