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Finding the Fourth Proportional to 557,707, 836,580.12 and 178,639.24

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Solution

The fourth proportional to 557,707, 836,580.12 and 178,639.24 is: 267,965.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    557,707 : 836,580.12 = 178,639.24 : x
  2. Step 2: Convert to fraction form
    557,707/836,580.12 = 178,639.24/x
  3. Step 3: Cross multiply
    557,707x = 836,580.12 × 178,639.24
  4. Step 4: Simplify right side
    557,707x = 149,446,036,835.91
  5. Step 5: Solve for x
    x = 149,446,036,835.91/557,707
  6. Step 6: Final answer
    x = 267,965.14

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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.