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Finding the Fourth Proportional to 282,798.15, 424,175.17 and 164,393.97

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Solution

The fourth proportional to 282,798.15, 424,175.17 and 164,393.97 is: 246,578.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,798.15 : 424,175.17 = 164,393.97 : x
  2. Step 2: Convert to fraction form
    282,798.15/424,175.17 = 164,393.97/x
  3. Step 3: Cross multiply
    282,798.15x = 424,175.17 × 164,393.97
  4. Step 4: Simplify right side
    282,798.15x = 69,731,839,349.76
  5. Step 5: Solve for x
    x = 69,731,839,349.76/282,798.15
  6. Step 6: Final answer
    x = 246,578.13

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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.