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Finding the Fourth Proportional to 514,283.25, 709,687.08 and 284,825.01

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Solution

The fourth proportional to 514,283.25, 709,687.08 and 284,825.01 is: 393,045.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,283.25 : 709,687.08 = 284,825.01 : x
  2. Step 2: Convert to fraction form
    514,283.25/709,687.08 = 284,825.01/x
  3. Step 3: Cross multiply
    514,283.25x = 709,687.08 × 284,825.01
  4. Step 4: Simplify right side
    514,283.25x = 202,136,629,657.87
  5. Step 5: Solve for x
    x = 202,136,629,657.87/514,283.25
  6. Step 6: Final answer
    x = 393,045.33

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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.