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Finding the Fourth Proportional to 472,861.91, 709,299.06 and 157,318.82

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Solution

The fourth proportional to 472,861.91, 709,299.06 and 157,318.82 is: 235,980.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,861.91 : 709,299.06 = 157,318.82 : x
  2. Step 2: Convert to fraction form
    472,861.91/709,299.06 = 157,318.82/x
  3. Step 3: Cross multiply
    472,861.91x = 709,299.06 × 157,318.82
  4. Step 4: Simplify right side
    472,861.91x = 111,586,091,146.31
  5. Step 5: Solve for x
    x = 111,586,091,146.31/472,861.91
  6. Step 6: Final answer
    x = 235,980.29

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Why These Related Problems?

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