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Finding the Fourth Proportional to 470,810.25, 706,526.42 and 221,511.69

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Solution

The fourth proportional to 470,810.25, 706,526.42 and 221,511.69 is: 332,413.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,810.25 : 706,526.42 = 221,511.69 : x
  2. Step 2: Convert to fraction form
    470,810.25/706,526.42 = 221,511.69/x
  3. Step 3: Cross multiply
    470,810.25x = 706,526.42 × 221,511.69
  4. Step 4: Simplify right side
    470,810.25x = 156,503,860,216.29
  5. Step 5: Solve for x
    x = 156,503,860,216.29/470,810.25
  6. Step 6: Final answer
    x = 332,413.88

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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.