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Finding the Fourth Proportional to 556,236, 834,077.96 and 177,107.34

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Solution

The fourth proportional to 556,236, 834,077.96 and 177,107.34 is: 265,573.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    556,236 : 834,077.96 = 177,107.34 : x
  2. Step 2: Convert to fraction form
    556,236/834,077.96 = 177,107.34/x
  3. Step 3: Cross multiply
    556,236x = 834,077.96 × 177,107.34
  4. Step 4: Simplify right side
    556,236x = 147,721,328,848.23
  5. Step 5: Solve for x
    x = 147,721,328,848.23/556,236
  6. Step 6: Final answer
    x = 265,573.12

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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.