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Finding the Fourth Proportional to 505,798.68, 698,001.62 and 290,933.22

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Solution

The fourth proportional to 505,798.68, 698,001.62 and 290,933.22 is: 401,487.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,798.68 : 698,001.62 = 290,933.22 : x
  2. Step 2: Convert to fraction form
    505,798.68/698,001.62 = 290,933.22/x
  3. Step 3: Cross multiply
    505,798.68x = 698,001.62 × 290,933.22
  4. Step 4: Simplify right side
    505,798.68x = 203,071,858,871.82
  5. Step 5: Solve for x
    x = 203,071,858,871.82/505,798.68
  6. Step 6: Final answer
    x = 401,487.52

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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.