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Finding the Fourth Proportional to 525,909.76, 789,214.08 and 193,485.44

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Solution

The fourth proportional to 525,909.76, 789,214.08 and 193,485.44 is: 290,356.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    525,909.76 : 789,214.08 = 193,485.44 : x
  2. Step 2: Convert to fraction form
    525,909.76/789,214.08 = 193,485.44/x
  3. Step 3: Cross multiply
    525,909.76x = 789,214.08 × 193,485.44
  4. Step 4: Simplify right side
    525,909.76x = 152,701,433,523.00
  5. Step 5: Solve for x
    x = 152,701,433,523.00/525,909.76
  6. Step 6: Final answer
    x = 290,356.72

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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.