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Finding the Fourth Proportional to 296,756.70, 409,523.66 and 160,794.32

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Solution

The fourth proportional to 296,756.70, 409,523.66 and 160,794.32 is: 221,895.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,756.70 : 409,523.66 = 160,794.32 : x
  2. Step 2: Convert to fraction form
    296,756.70/409,523.66 = 160,794.32/x
  3. Step 3: Cross multiply
    296,756.70x = 409,523.66 × 160,794.32
  4. Step 4: Simplify right side
    296,756.70x = 65,849,080,544.82
  5. Step 5: Solve for x
    x = 65,849,080,544.82/296,756.70
  6. Step 6: Final answer
    x = 221,895.85

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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.