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Finding the Fourth Proportional to 430,327.80, 644,817 and 272,222.28

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Solution

The fourth proportional to 430,327.80, 644,817 and 272,222.28 is: 407,906.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    430,327.80 : 644,817 = 272,222.28 : x
  2. Step 2: Convert to fraction form
    430,327.80/644,817 = 272,222.28/x
  3. Step 3: Cross multiply
    430,327.80x = 644,817 × 272,222.28
  4. Step 4: Simplify right side
    430,327.80x = 175,533,553,922.76
  5. Step 5: Solve for x
    x = 175,533,553,922.76/430,327.80
  6. Step 6: Final answer
    x = 407,906.61

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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.