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Finding the Fourth Proportional to 398,022.60, 549,263.30 and 216,736.68

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Solution

The fourth proportional to 398,022.60, 549,263.30 and 216,736.68 is: 299,092.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,022.60 : 549,263.30 = 216,736.68 : x
  2. Step 2: Convert to fraction form
    398,022.60/549,263.30 = 216,736.68/x
  3. Step 3: Cross multiply
    398,022.60x = 549,263.30 × 216,736.68
  4. Step 4: Simplify right side
    398,022.60x = 119,045,503,004.16
  5. Step 5: Solve for x
    x = 119,045,503,004.16/398,022.60
  6. Step 6: Final answer
    x = 299,092.32

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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.