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Finding the Fourth Proportional to 352,402.45, 486,094.16 and 209,061

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Solution

The fourth proportional to 352,402.45, 486,094.16 and 209,061 is: 288,372.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    352,402.45 : 486,094.16 = 209,061 : x
  2. Step 2: Convert to fraction form
    352,402.45/486,094.16 = 209,061/x
  3. Step 3: Cross multiply
    352,402.45x = 486,094.16 × 209,061
  4. Step 4: Simplify right side
    352,402.45x = 101,623,331,706.41
  5. Step 5: Solve for x
    x = 101,623,331,706.41/352,402.45
  6. Step 6: Final answer
    x = 288,372.95

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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.