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Finding the Fourth Proportional to 282,936.48, 424,314 and 264,300

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Solution

The fourth proportional to 282,936.48, 424,314 and 264,300 is: 396,365.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,936.48 : 424,314 = 264,300 : x
  2. Step 2: Convert to fraction form
    282,936.48/424,314 = 264,300/x
  3. Step 3: Cross multiply
    282,936.48x = 424,314 × 264,300
  4. Step 4: Simplify right side
    282,936.48x = 112,146,190,200
  5. Step 5: Solve for x
    x = 112,146,190,200/282,936.48
  6. Step 6: Final answer
    x = 396,365.26

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.