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Finding the Fourth Proportional to 302,678.16, 417,735.84 and 195,559.80

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Solution

The fourth proportional to 302,678.16, 417,735.84 and 195,559.80 is: 269,898.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,678.16 : 417,735.84 = 195,559.80 : x
  2. Step 2: Convert to fraction form
    302,678.16/417,735.84 = 195,559.80/x
  3. Step 3: Cross multiply
    302,678.16x = 417,735.84 × 195,559.80
  4. Step 4: Simplify right side
    302,678.16x = 81,692,337,323.23
  5. Step 5: Solve for x
    x = 81,692,337,323.23/302,678.16
  6. Step 6: Final answer
    x = 269,898.35

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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.