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Finding the Fourth Proportional to 296,719.12, 409,472.48 and 160,754.01

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Solution

The fourth proportional to 296,719.12, 409,472.48 and 160,754.01 is: 221,840.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,719.12 : 409,472.48 = 160,754.01 : x
  2. Step 2: Convert to fraction form
    296,719.12/409,472.48 = 160,754.01/x
  3. Step 3: Cross multiply
    296,719.12x = 409,472.48 × 160,754.01
  4. Step 4: Simplify right side
    296,719.12x = 65,824,342,011.01
  5. Step 5: Solve for x
    x = 65,824,342,011.01/296,719.12
  6. Step 6: Final answer
    x = 221,840.58

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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.