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Finding the Fourth Proportional to 290,547.36, 400,946.08 and 161,485.20

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Solution

The fourth proportional to 290,547.36, 400,946.08 and 161,485.20 is: 222,844.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,547.36 : 400,946.08 = 161,485.20 : x
  2. Step 2: Convert to fraction form
    290,547.36/400,946.08 = 161,485.20/x
  3. Step 3: Cross multiply
    290,547.36x = 400,946.08 × 161,485.20
  4. Step 4: Simplify right side
    290,547.36x = 64,746,857,918.02
  5. Step 5: Solve for x
    x = 64,746,857,918.02/290,547.36
  6. Step 6: Final answer
    x = 222,844.42

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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.