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Finding the Fourth Proportional to 296,450.17, 409,101.14 and 160,484.02

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Solution

The fourth proportional to 296,450.17, 409,101.14 and 160,484.02 is: 221,467.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,450.17 : 409,101.14 = 160,484.02 : x
  2. Step 2: Convert to fraction form
    296,450.17/409,101.14 = 160,484.02/x
  3. Step 3: Cross multiply
    296,450.17x = 409,101.14 × 160,484.02
  4. Step 4: Simplify right side
    296,450.17x = 65,654,192,685.86
  5. Step 5: Solve for x
    x = 65,654,192,685.86/296,450.17
  6. Step 6: Final answer
    x = 221,467.89

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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.