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Finding the Fourth Proportional to 296,892.24, 409,737.22 and 162,782.16

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Solution

The fourth proportional to 296,892.24, 409,737.22 and 162,782.16 is: 224,653.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,892.24 : 409,737.22 = 162,782.16 : x
  2. Step 2: Convert to fraction form
    296,892.24/409,737.22 = 162,782.16/x
  3. Step 3: Cross multiply
    296,892.24x = 409,737.22 × 162,782.16
  4. Step 4: Simplify right side
    296,892.24x = 66,697,909,704.00
  5. Step 5: Solve for x
    x = 66,697,909,704.00/296,892.24
  6. Step 6: Final answer
    x = 224,653.60

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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.