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Finding the Fourth Proportional to 506,511.56, 759,517.70 and 177,848.49

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Solution

The fourth proportional to 506,511.56, 759,517.70 and 177,848.49 is: 266,685.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,511.56 : 759,517.70 = 177,848.49 : x
  2. Step 2: Convert to fraction form
    506,511.56/759,517.70 = 177,848.49/x
  3. Step 3: Cross multiply
    506,511.56x = 759,517.70 × 177,848.49
  4. Step 4: Simplify right side
    506,511.56x = 135,079,078,032.22
  5. Step 5: Solve for x
    x = 135,079,078,032.22/506,511.56
  6. Step 6: Final answer
    x = 266,685.08

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.