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Finding the Fourth Proportional to 296,461.22, 409,114.60 and 160,494.19

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Solution

The fourth proportional to 296,461.22, 409,114.60 and 160,494.19 is: 221,480.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,461.22 : 409,114.60 = 160,494.19 : x
  2. Step 2: Convert to fraction form
    296,461.22/409,114.60 = 160,494.19/x
  3. Step 3: Cross multiply
    296,461.22x = 409,114.60 × 160,494.19
  4. Step 4: Simplify right side
    296,461.22x = 65,660,514,920.15
  5. Step 5: Solve for x
    x = 65,660,514,920.15/296,461.22
  6. Step 6: Final answer
    x = 221,480.96

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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.