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Finding the Fourth Proportional to 946,892.72, 1,420,344.48 and 315,804.71

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Solution

The fourth proportional to 946,892.72, 1,420,344.48 and 315,804.71 is: 473,708.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    946,892.72 : 1,420,344.48 = 315,804.71 : x
  2. Step 2: Convert to fraction form
    946,892.72/1,420,344.48 = 315,804.71/x
  3. Step 3: Cross multiply
    946,892.72x = 1,420,344.48 × 315,804.71
  4. Step 4: Simplify right side
    946,892.72x = 448,551,476,606.50
  5. Step 5: Solve for x
    x = 448,551,476,606.50/946,892.72
  6. Step 6: Final answer
    x = 473,708.87

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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.