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Finding the Fourth Proportional to 282,818.84, 424,206.26 and 164,414.60

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Solution

The fourth proportional to 282,818.84, 424,206.26 and 164,414.60 is: 246,609.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,818.84 : 424,206.26 = 164,414.60 : x
  2. Step 2: Convert to fraction form
    282,818.84/424,206.26 = 164,414.60/x
  3. Step 3: Cross multiply
    282,818.84x = 424,206.26 × 164,414.60
  4. Step 4: Simplify right side
    282,818.84x = 69,745,702,555.40
  5. Step 5: Solve for x
    x = 69,745,702,555.40/282,818.84
  6. Step 6: Final answer
    x = 246,609.11

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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.