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Finding the Fourth Proportional to 224,803.40, 336,213.12 and 200,017.40

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Solution

The fourth proportional to 224,803.40, 336,213.12 and 200,017.40 is: 299,143.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,803.40 : 336,213.12 = 200,017.40 : x
  2. Step 2: Convert to fraction form
    224,803.40/336,213.12 = 200,017.40/x
  3. Step 3: Cross multiply
    224,803.40x = 336,213.12 × 200,017.40
  4. Step 4: Simplify right side
    224,803.40x = 67,248,474,108.29
  5. Step 5: Solve for x
    x = 67,248,474,108.29/224,803.40
  6. Step 6: Final answer
    x = 299,143.49

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.