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Finding the Fourth Proportional to 462,603.33, 693,756.36 and 146,986.47

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Solution

The fourth proportional to 462,603.33, 693,756.36 and 146,986.47 is: 220,432.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,603.33 : 693,756.36 = 146,986.47 : x
  2. Step 2: Convert to fraction form
    462,603.33/693,756.36 = 146,986.47/x
  3. Step 3: Cross multiply
    462,603.33x = 693,756.36 × 146,986.47
  4. Step 4: Simplify right side
    462,603.33x = 101,972,798,396.45
  5. Step 5: Solve for x
    x = 101,972,798,396.45/462,603.33
  6. Step 6: Final answer
    x = 220,432.48

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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.