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Finding the Fourth Proportional to 807,494.83, 1,114,368.12 and 463,393.71

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Solution

The fourth proportional to 807,494.83, 1,114,368.12 and 463,393.71 is: 639,497.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    807,494.83 : 1,114,368.12 = 463,393.71 : x
  2. Step 2: Convert to fraction form
    807,494.83/1,114,368.12 = 463,393.71/x
  3. Step 3: Cross multiply
    807,494.83x = 1,114,368.12 × 463,393.71
  4. Step 4: Simplify right side
    807,494.83x = 516,391,175,115.56
  5. Step 5: Solve for x
    x = 516,391,175,115.56/807,494.83
  6. Step 6: Final answer
    x = 639,497.81

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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.