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Finding the Fourth Proportional to 514,401.96, 709,887.30 and 288,093.48

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Solution

The fourth proportional to 514,401.96, 709,887.30 and 288,093.48 is: 397,576.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,401.96 : 709,887.30 = 288,093.48 : x
  2. Step 2: Convert to fraction form
    514,401.96/709,887.30 = 288,093.48/x
  3. Step 3: Cross multiply
    514,401.96x = 709,887.30 × 288,093.48
  4. Step 4: Simplify right side
    514,401.96x = 204,513,902,664.80
  5. Step 5: Solve for x
    x = 204,513,902,664.80/514,401.96
  6. Step 6: Final answer
    x = 397,576.06

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1.5x scale

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.