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Finding the Fourth Proportional to 398,132.56, 549,429.48 and 216,848

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Solution

The fourth proportional to 398,132.56, 549,429.48 and 216,848 is: 299,253.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,132.56 : 549,429.48 = 216,848 : x
  2. Step 2: Convert to fraction form
    398,132.56/549,429.48 = 216,848/x
  3. Step 3: Cross multiply
    398,132.56x = 549,429.48 × 216,848
  4. Step 4: Simplify right side
    398,132.56x = 119,142,683,879.04
  5. Step 5: Solve for x
    x = 119,142,683,879.04/398,132.56
  6. Step 6: Final answer
    x = 299,253.81

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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.