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Finding the Fourth Proportional to 296,464.41, 409,120.38 and 160,498.31

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Solution

The fourth proportional to 296,464.41, 409,120.38 and 160,498.31 is: 221,487.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,464.41 : 409,120.38 = 160,498.31 : x
  2. Step 2: Convert to fraction form
    296,464.41/409,120.38 = 160,498.31/x
  3. Step 3: Cross multiply
    296,464.41x = 409,120.38 × 160,498.31
  4. Step 4: Simplify right side
    296,464.41x = 65,663,127,530.96
  5. Step 5: Solve for x
    x = 65,663,127,530.96/296,464.41
  6. Step 6: Final answer
    x = 221,487.39

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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.