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Finding the Fourth Proportional to 505,970.08, 698,171.24 and 324,927.24

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Solution

The fourth proportional to 505,970.08, 698,171.24 and 324,927.24 is: 448,356.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,970.08 : 698,171.24 = 324,927.24 : x
  2. Step 2: Convert to fraction form
    505,970.08/698,171.24 = 324,927.24/x
  3. Step 3: Cross multiply
    505,970.08x = 698,171.24 × 324,927.24
  4. Step 4: Simplify right side
    505,970.08x = 226,854,854,060.58
  5. Step 5: Solve for x
    x = 226,854,854,060.58/505,970.08
  6. Step 6: Final answer
    x = 448,356.26

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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.