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Finding the Fourth Proportional to 296,475.66, 409,135.91 and 160,509.56

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Solution

The fourth proportional to 296,475.66, 409,135.91 and 160,509.56 is: 221,502.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,475.66 : 409,135.91 = 160,509.56 : x
  2. Step 2: Convert to fraction form
    296,475.66/409,135.91 = 160,509.56/x
  3. Step 3: Cross multiply
    296,475.66x = 409,135.91 × 160,509.56
  4. Step 4: Simplify right side
    296,475.66x = 65,670,222,046.07
  5. Step 5: Solve for x
    x = 65,670,222,046.07/296,475.66
  6. Step 6: Final answer
    x = 221,502.91

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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.