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Finding the Fourth Proportional to 505,996.68, 698,422.32 and 291,288.36

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Solution

The fourth proportional to 505,996.68, 698,422.32 and 291,288.36 is: 402,062.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,996.68 : 698,422.32 = 291,288.36 : x
  2. Step 2: Convert to fraction form
    505,996.68/698,422.32 = 291,288.36/x
  3. Step 3: Cross multiply
    505,996.68x = 698,422.32 × 291,288.36
  4. Step 4: Simplify right side
    505,996.68x = 203,442,292,180.20
  5. Step 5: Solve for x
    x = 203,442,292,180.20/505,996.68
  6. Step 6: Final answer
    x = 402,062.50

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.