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Finding the Fourth Proportional to 270,688.11, 406,030.34 and 211,573.50

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Solution

The fourth proportional to 270,688.11, 406,030.34 and 211,573.50 is: 317,358.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,688.11 : 406,030.34 = 211,573.50 : x
  2. Step 2: Convert to fraction form
    270,688.11/406,030.34 = 211,573.50/x
  3. Step 3: Cross multiply
    270,688.11x = 406,030.34 × 211,573.50
  4. Step 4: Simplify right side
    270,688.11x = 85,905,259,082.12
  5. Step 5: Solve for x
    x = 85,905,259,082.12/270,688.11
  6. Step 6: Final answer
    x = 317,358.82

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.