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Finding the Fourth Proportional to 419,464, 578,904.06 and 238,224.88

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Solution

The fourth proportional to 419,464, 578,904.06 and 238,224.88 is: 328,775.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,464 : 578,904.06 = 238,224.88 : x
  2. Step 2: Convert to fraction form
    419,464/578,904.06 = 238,224.88/x
  3. Step 3: Cross multiply
    419,464x = 578,904.06 × 238,224.88
  4. Step 4: Simplify right side
    419,464x = 137,909,350,225.01
  5. Step 5: Solve for x
    x = 137,909,350,225.01/419,464
  6. Step 6: Final answer
    x = 328,775.18

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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.