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Finding the Fourth Proportional to 430,459.11, 645,938.19 and 217,243.71

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Solution

The fourth proportional to 430,459.11, 645,938.19 and 217,243.71 is: 325,991.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    430,459.11 : 645,938.19 = 217,243.71 : x
  2. Step 2: Convert to fraction form
    430,459.11/645,938.19 = 217,243.71/x
  3. Step 3: Cross multiply
    430,459.11x = 645,938.19 × 217,243.71
  4. Step 4: Simplify right side
    430,459.11x = 140,326,008,826.29
  5. Step 5: Solve for x
    x = 140,326,008,826.29/430,459.11
  6. Step 6: Final answer
    x = 325,991.50

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Why These Related Problems?

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