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Finding the Fourth Proportional to 296,582.50, 409,283.85 and 169,255.36

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Solution

The fourth proportional to 296,582.50, 409,283.85 and 169,255.36 is: 233,572.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,582.50 : 409,283.85 = 169,255.36 : x
  2. Step 2: Convert to fraction form
    296,582.50/409,283.85 = 169,255.36/x
  3. Step 3: Cross multiply
    296,582.50x = 409,283.85 × 169,255.36
  4. Step 4: Simplify right side
    296,582.50x = 69,273,485,373.94
  5. Step 5: Solve for x
    x = 69,273,485,373.94/296,582.50
  6. Step 6: Final answer
    x = 233,572.40

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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.