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Finding the Fourth Proportional to 514,369.68, 709,805.46 and 284,911.47

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Solution

The fourth proportional to 514,369.68, 709,805.46 and 284,911.47 is: 393,164.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,369.68 : 709,805.46 = 284,911.47 : x
  2. Step 2: Convert to fraction form
    514,369.68/709,805.46 = 284,911.47/x
  3. Step 3: Cross multiply
    514,369.68x = 709,805.46 × 284,911.47
  4. Step 4: Simplify right side
    514,369.68x = 202,231,717,022.63
  5. Step 5: Solve for x
    x = 202,231,717,022.63/514,369.68
  6. Step 6: Final answer
    x = 393,164.15

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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.