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Finding the Fourth Proportional to 282,792.90, 424,167.30 and 164,388.72

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Solution

The fourth proportional to 282,792.90, 424,167.30 and 164,388.72 is: 246,570.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,792.90 : 424,167.30 = 164,388.72 : x
  2. Step 2: Convert to fraction form
    282,792.90/424,167.30 = 164,388.72/x
  3. Step 3: Cross multiply
    282,792.90x = 424,167.30 × 164,388.72
  4. Step 4: Simplify right side
    282,792.90x = 69,728,319,512.86
  5. Step 5: Solve for x
    x = 69,728,319,512.86/282,792.90
  6. Step 6: Final answer
    x = 246,570.26

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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.