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Finding the Fourth Proportional to 282,954.24, 424,972.80 and 177,984

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Solution

The fourth proportional to 282,954.24, 424,972.80 and 177,984 is: 267,316.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,954.24 : 424,972.80 = 177,984 : x
  2. Step 2: Convert to fraction form
    282,954.24/424,972.80 = 177,984/x
  3. Step 3: Cross multiply
    282,954.24x = 424,972.80 × 177,984
  4. Step 4: Simplify right side
    282,954.24x = 75,638,358,835.20
  5. Step 5: Solve for x
    x = 75,638,358,835.20/282,954.24
  6. Step 6: Final answer
    x = 267,316.58

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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.