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Finding the Fourth Proportional to 514,189.08, 709,588.38 and 296,277.48

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Solution

The fourth proportional to 514,189.08, 709,588.38 and 296,277.48 is: 408,867.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,189.08 : 709,588.38 = 296,277.48 : x
  2. Step 2: Convert to fraction form
    514,189.08/709,588.38 = 296,277.48/x
  3. Step 3: Cross multiply
    514,189.08x = 709,588.38 × 296,277.48
  4. Step 4: Simplify right side
    514,189.08x = 210,235,057,063.68
  5. Step 5: Solve for x
    x = 210,235,057,063.68/514,189.08
  6. Step 6: Final answer
    x = 408,867.21

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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.