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Finding the Fourth Proportional to 586,397.22, 809,222.70 and 331,748.41

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Solution

The fourth proportional to 586,397.22, 809,222.70 and 331,748.41 is: 457,809.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    586,397.22 : 809,222.70 = 331,748.41 : x
  2. Step 2: Convert to fraction form
    586,397.22/809,222.70 = 331,748.41/x
  3. Step 3: Cross multiply
    586,397.22x = 809,222.70 × 331,748.41
  4. Step 4: Simplify right side
    586,397.22x = 268,458,340,379.11
  5. Step 5: Solve for x
    x = 268,458,340,379.11/586,397.22
  6. Step 6: Final answer
    x = 457,809.71

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.