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Finding the Fourth Proportional to 296,434.40, 409,079.04 and 160,467.68

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Solution

The fourth proportional to 296,434.40, 409,079.04 and 160,467.68 is: 221,445.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,434.40 : 409,079.04 = 160,467.68 : x
  2. Step 2: Convert to fraction form
    296,434.40/409,079.04 = 160,467.68/x
  3. Step 3: Cross multiply
    296,434.40x = 409,079.04 × 160,467.68
  4. Step 4: Simplify right side
    296,434.40x = 65,643,964,485.43
  5. Step 5: Solve for x
    x = 65,643,964,485.43/296,434.40
  6. Step 6: Final answer
    x = 221,445.16

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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.