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Finding the Fourth Proportional to 282,693.80, 424,040.70 and 164,498.60

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Solution

The fourth proportional to 282,693.80, 424,040.70 and 164,498.60 is: 246,747.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,693.80 : 424,040.70 = 164,498.60 : x
  2. Step 2: Convert to fraction form
    282,693.80/424,040.70 = 164,498.60/x
  3. Step 3: Cross multiply
    282,693.80x = 424,040.70 × 164,498.60
  4. Step 4: Simplify right side
    282,693.80x = 69,754,101,493.02
  5. Step 5: Solve for x
    x = 69,754,101,493.02/282,693.80
  6. Step 6: Final answer
    x = 246,747.90

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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.