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Finding the Fourth Proportional to 809,164.85, 1,116,642.01 and 446,588.71

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Solution

The fourth proportional to 809,164.85, 1,116,642.01 and 446,588.71 is: 616,289.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    809,164.85 : 1,116,642.01 = 446,588.71 : x
  2. Step 2: Convert to fraction form
    809,164.85/1,116,642.01 = 446,588.71/x
  3. Step 3: Cross multiply
    809,164.85x = 1,116,642.01 × 446,588.71
  4. Step 4: Simplify right side
    809,164.85x = 498,679,712,544.76
  5. Step 5: Solve for x
    x = 498,679,712,544.76/809,164.85
  6. Step 6: Final answer
    x = 616,289.39

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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.