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Finding the Fourth Proportional to 296,445.30, 409,330.38 and 273,775.98

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Solution

The fourth proportional to 296,445.30, 409,330.38 and 273,775.98 is: 378,028.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,445.30 : 409,330.38 = 273,775.98 : x
  2. Step 2: Convert to fraction form
    296,445.30/409,330.38 = 273,775.98/x
  3. Step 3: Cross multiply
    296,445.30x = 409,330.38 × 273,775.98
  4. Step 4: Simplify right side
    296,445.30x = 112,064,825,928.27
  5. Step 5: Solve for x
    x = 112,064,825,928.27/296,445.30
  6. Step 6: Final answer
    x = 378,028.68

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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.