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Finding the Fourth Proportional to 398,427.14, 549,813.41 and 217,135.17

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Solution

The fourth proportional to 398,427.14, 549,813.41 and 217,135.17 is: 299,637.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,427.14 : 549,813.41 = 217,135.17 : x
  2. Step 2: Convert to fraction form
    398,427.14/549,813.41 = 217,135.17/x
  3. Step 3: Cross multiply
    398,427.14x = 549,813.41 × 217,135.17
  4. Step 4: Simplify right side
    398,427.14x = 119,383,828,248.63
  5. Step 5: Solve for x
    x = 119,383,828,248.63/398,427.14
  6. Step 6: Final answer
    x = 299,637.79

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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.