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Finding the Fourth Proportional to 514,149.72, 709,533.86 and 296,237.96

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Solution

The fourth proportional to 514,149.72, 709,533.86 and 296,237.96 is: 408,812.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,149.72 : 709,533.86 = 296,237.96 : x
  2. Step 2: Convert to fraction form
    514,149.72/709,533.86 = 296,237.96/x
  3. Step 3: Cross multiply
    514,149.72x = 709,533.86 × 296,237.96
  4. Step 4: Simplify right side
    514,149.72x = 210,190,863,237.33
  5. Step 5: Solve for x
    x = 210,190,863,237.33/514,149.72
  6. Step 6: Final answer
    x = 408,812.56

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.