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Finding the Fourth Proportional to 433,463.29, 647,536.96 and 312,487.80

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Solution

The fourth proportional to 433,463.29, 647,536.96 and 312,487.80 is: 466,815.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    433,463.29 : 647,536.96 = 312,487.80 : x
  2. Step 2: Convert to fraction form
    433,463.29/647,536.96 = 312,487.80/x
  3. Step 3: Cross multiply
    433,463.29x = 647,536.96 × 312,487.80
  4. Step 4: Simplify right side
    433,463.29x = 202,347,402,239.74
  5. Step 5: Solve for x
    x = 202,347,402,239.74/433,463.29
  6. Step 6: Final answer
    x = 466,815.55

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.