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Finding the Fourth Proportional to 419,020.54, 578,261.46 and 237,740.11

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Solution

The fourth proportional to 419,020.54, 578,261.46 and 237,740.11 is: 328,088.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,020.54 : 578,261.46 = 237,740.11 : x
  2. Step 2: Convert to fraction form
    419,020.54/578,261.46 = 237,740.11/x
  3. Step 3: Cross multiply
    419,020.54x = 578,261.46 × 237,740.11
  4. Step 4: Simplify right side
    419,020.54x = 137,475,943,109.16
  5. Step 5: Solve for x
    x = 137,475,943,109.16/419,020.54
  6. Step 6: Final answer
    x = 328,088.79

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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.