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Finding the Fourth Proportional to 462,262.40, 693,413.44 and 146,732.16

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Solution

The fourth proportional to 462,262.40, 693,413.44 and 146,732.16 is: 220,104.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,262.40 : 693,413.44 = 146,732.16 : x
  2. Step 2: Convert to fraction form
    462,262.40/693,413.44 = 146,732.16/x
  3. Step 3: Cross multiply
    462,262.40x = 693,413.44 × 146,732.16
  4. Step 4: Simplify right side
    462,262.40x = 101,746,051,824.23
  5. Step 5: Solve for x
    x = 101,746,051,824.23/462,262.40
  6. Step 6: Final answer
    x = 220,104.54

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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.