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Finding the Fourth Proportional to 722,690.58, 997,321.02 and 400,405.75

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Solution

The fourth proportional to 722,690.58, 997,321.02 and 400,405.75 is: 552,564.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    722,690.58 : 997,321.02 = 400,405.75 : x
  2. Step 2: Convert to fraction form
    722,690.58/997,321.02 = 400,405.75/x
  3. Step 3: Cross multiply
    722,690.58x = 997,321.02 × 400,405.75
  4. Step 4: Simplify right side
    722,690.58x = 399,333,071,003.87
  5. Step 5: Solve for x
    x = 399,333,071,003.87/722,690.58
  6. Step 6: Final answer
    x = 552,564.38

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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.