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Finding the Fourth Proportional to 407,384.85, 560,197.02 and 353,576.16

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Solution

The fourth proportional to 407,384.85, 560,197.02 and 353,576.16 is: 486,204.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,384.85 : 560,197.02 = 353,576.16 : x
  2. Step 2: Convert to fraction form
    407,384.85/560,197.02 = 353,576.16/x
  3. Step 3: Cross multiply
    407,384.85x = 560,197.02 × 353,576.16
  4. Step 4: Simplify right side
    407,384.85x = 198,072,311,175.04
  5. Step 5: Solve for x
    x = 198,072,311,175.04/407,384.85
  6. Step 6: Final answer
    x = 486,204.41

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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.