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Finding the Fourth Proportional to 403,586, 556,948.68 and 233,918.54

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Solution

The fourth proportional to 403,586, 556,948.68 and 233,918.54 is: 322,807.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,586 : 556,948.68 = 233,918.54 : x
  2. Step 2: Convert to fraction form
    403,586/556,948.68 = 233,918.54/x
  3. Step 3: Cross multiply
    403,586x = 556,948.68 × 233,918.54
  4. Step 4: Simplify right side
    403,586x = 130,280,622,080.53
  5. Step 5: Solve for x
    x = 130,280,622,080.53/403,586
  6. Step 6: Final answer
    x = 322,807.59

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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.