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Finding the Fourth Proportional to 832,933, 1,149,359.34 and 470,334.88

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Solution

The fourth proportional to 832,933, 1,149,359.34 and 470,334.88 is: 649,012.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    832,933 : 1,149,359.34 = 470,334.88 : x
  2. Step 2: Convert to fraction form
    832,933/1,149,359.34 = 470,334.88/x
  3. Step 3: Cross multiply
    832,933x = 1,149,359.34 × 470,334.88
  4. Step 4: Simplify right side
    832,933x = 540,583,787,255.78
  5. Step 5: Solve for x
    x = 540,583,787,255.78/832,933
  6. Step 6: Final answer
    x = 649,012.33

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