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Finding the Fourth Proportional to 514,251.84, 709,613.48 and 284,803.13

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Solution

The fourth proportional to 514,251.84, 709,613.48 and 284,803.13 is: 392,998.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,251.84 : 709,613.48 = 284,803.13 : x
  2. Step 2: Convert to fraction form
    514,251.84/709,613.48 = 284,803.13/x
  3. Step 3: Cross multiply
    514,251.84x = 709,613.48 × 284,803.13
  4. Step 4: Simplify right side
    514,251.84x = 202,100,135,222.11
  5. Step 5: Solve for x
    x = 202,100,135,222.11/514,251.84
  6. Step 6: Final answer
    x = 392,998.37

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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.