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Finding the Fourth Proportional to 514,146.72, 709,529.72 and 296,234.96

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Solution

The fourth proportional to 514,146.72, 709,529.72 and 296,234.96 is: 408,808.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,146.72 : 709,529.72 = 296,234.96 : x
  2. Step 2: Convert to fraction form
    514,146.72/709,529.72 = 296,234.96/x
  3. Step 3: Cross multiply
    514,146.72x = 709,529.72 × 296,234.96
  4. Step 4: Simplify right side
    514,146.72x = 210,187,508,223.01
  5. Step 5: Solve for x
    x = 210,187,508,223.01/514,146.72
  6. Step 6: Final answer
    x = 408,808.42

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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.