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Finding the Fourth Proportional to 403,886.84, 557,364.30 and 234,219.56

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Solution

The fourth proportional to 403,886.84, 557,364.30 and 234,219.56 is: 323,223.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,886.84 : 557,364.30 = 234,219.56 : x
  2. Step 2: Convert to fraction form
    403,886.84/557,364.30 = 234,219.56/x
  3. Step 3: Cross multiply
    403,886.84x = 557,364.30 × 234,219.56
  4. Step 4: Simplify right side
    403,886.84x = 130,545,621,105.71
  5. Step 5: Solve for x
    x = 130,545,621,105.71/403,886.84
  6. Step 6: Final answer
    x = 323,223.26

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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.