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Finding the Fourth Proportional to 296,392.52, 409,021.64 and 160,426.44

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Solution

The fourth proportional to 296,392.52, 409,021.64 and 160,426.44 is: 221,388.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,392.52 : 409,021.64 = 160,426.44 : x
  2. Step 2: Convert to fraction form
    296,392.52/409,021.64 = 160,426.44/x
  3. Step 3: Cross multiply
    296,392.52x = 409,021.64 × 160,426.44
  4. Step 4: Simplify right side
    296,392.52x = 65,617,885,588.16
  5. Step 5: Solve for x
    x = 65,617,885,588.16/296,392.52
  6. Step 6: Final answer
    x = 221,388.47

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1.5x scale

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.