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Finding the Fourth Proportional to 405,643.16, 607,533.09 and 202,616.09

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Solution

The fourth proportional to 405,643.16, 607,533.09 and 202,616.09 is: 303,458.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,643.16 : 607,533.09 = 202,616.09 : x
  2. Step 2: Convert to fraction form
    405,643.16/607,533.09 = 202,616.09/x
  3. Step 3: Cross multiply
    405,643.16x = 607,533.09 × 202,616.09
  4. Step 4: Simplify right side
    405,643.16x = 123,095,979,241.42
  5. Step 5: Solve for x
    x = 123,095,979,241.42/405,643.16
  6. Step 6: Final answer
    x = 303,458.78

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.