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Finding the Fourth Proportional to 296,389.67, 409,018.97 and 160,423.56

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Solution

The fourth proportional to 296,389.67, 409,018.97 and 160,423.56 is: 221,385.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,389.67 : 409,018.97 = 160,423.56 : x
  2. Step 2: Convert to fraction form
    296,389.67/409,018.97 = 160,423.56/x
  3. Step 3: Cross multiply
    296,389.67x = 409,018.97 × 160,423.56
  4. Step 4: Simplify right side
    296,389.67x = 65,616,279,675.99
  5. Step 5: Solve for x
    x = 65,616,279,675.99/296,389.67
  6. Step 6: Final answer
    x = 221,385.18

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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.