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Finding the Fourth Proportional to 419,134.10, 578,388.96 and 237,835.22

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Solution

The fourth proportional to 419,134.10, 578,388.96 and 237,835.22 is: 328,203.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,134.10 : 578,388.96 = 237,835.22 : x
  2. Step 2: Convert to fraction form
    419,134.10/578,388.96 = 237,835.22/x
  3. Step 3: Cross multiply
    419,134.10x = 578,388.96 × 237,835.22
  4. Step 4: Simplify right side
    419,134.10x = 137,561,265,547.17
  5. Step 5: Solve for x
    x = 137,561,265,547.17/419,134.10
  6. Step 6: Final answer
    x = 328,203.47

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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.