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Finding the Fourth Proportional to 430,526.68, 646,189.05 and 217,444.23

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Solution

The fourth proportional to 430,526.68, 646,189.05 and 217,444.23 is: 326,367.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    430,526.68 : 646,189.05 = 217,444.23 : x
  2. Step 2: Convert to fraction form
    430,526.68/646,189.05 = 217,444.23/x
  3. Step 3: Cross multiply
    430,526.68x = 646,189.05 × 217,444.23
  4. Step 4: Simplify right side
    430,526.68x = 140,510,080,411.68
  5. Step 5: Solve for x
    x = 140,510,080,411.68/430,526.68
  6. Step 6: Final answer
    x = 326,367.88

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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.