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Finding the Fourth Proportional to 844,496.88, 1,165,424.94 and 462,520.32

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Solution

The fourth proportional to 844,496.88, 1,165,424.94 and 462,520.32 is: 638,288.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    844,496.88 : 1,165,424.94 = 462,520.32 : x
  2. Step 2: Convert to fraction form
    844,496.88/1,165,424.94 = 462,520.32/x
  3. Step 3: Cross multiply
    844,496.88x = 1,165,424.94 × 462,520.32
  4. Step 4: Simplify right side
    844,496.88x = 539,032,716,184.78
  5. Step 5: Solve for x
    x = 539,032,716,184.78/844,496.88
  6. Step 6: Final answer
    x = 638,288.58

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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.