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Finding the Fourth Proportional to 296,646.18, 409,372.42 and 160,679.58

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Solution

The fourth proportional to 296,646.18, 409,372.42 and 160,679.58 is: 221,738.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,646.18 : 409,372.42 = 160,679.58 : x
  2. Step 2: Convert to fraction form
    296,646.18/409,372.42 = 160,679.58/x
  3. Step 3: Cross multiply
    296,646.18x = 409,372.42 × 160,679.58
  4. Step 4: Simplify right side
    296,646.18x = 65,777,788,509.18
  5. Step 5: Solve for x
    x = 65,777,788,509.18/296,646.18
  6. Step 6: Final answer
    x = 221,738.20

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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.