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Finding the Fourth Proportional to 600,892.50, 829,793.73 and 386,405.22

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Solution

The fourth proportional to 600,892.50, 829,793.73 and 386,405.22 is: 533,600.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    600,892.50 : 829,793.73 = 386,405.22 : x
  2. Step 2: Convert to fraction form
    600,892.50/829,793.73 = 386,405.22/x
  3. Step 3: Cross multiply
    600,892.50x = 829,793.73 × 386,405.22
  4. Step 4: Simplify right side
    600,892.50x = 320,636,628,795.27
  5. Step 5: Solve for x
    x = 320,636,628,795.27/600,892.50
  6. Step 6: Final answer
    x = 533,600.65

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.