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Finding the Fourth Proportional to 285,903.04, 394,564.08 and 165,066.46

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Solution

The fourth proportional to 285,903.04, 394,564.08 and 165,066.46 is: 227,802.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,903.04 : 394,564.08 = 165,066.46 : x
  2. Step 2: Convert to fraction form
    285,903.04/394,564.08 = 165,066.46/x
  3. Step 3: Cross multiply
    285,903.04x = 394,564.08 × 165,066.46
  4. Step 4: Simplify right side
    285,903.04x = 65,129,295,928.76
  5. Step 5: Solve for x
    x = 65,129,295,928.76/285,903.04
  6. Step 6: Final answer
    x = 227,802.04

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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.