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Finding the Fourth Proportional to 379,205.23, 523,411.23 and 224,300.02

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Solution

The fourth proportional to 379,205.23, 523,411.23 and 224,300.02 is: 309,597.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,205.23 : 523,411.23 = 224,300.02 : x
  2. Step 2: Convert to fraction form
    379,205.23/523,411.23 = 224,300.02/x
  3. Step 3: Cross multiply
    379,205.23x = 523,411.23 × 224,300.02
  4. Step 4: Simplify right side
    379,205.23x = 117,401,149,357.23
  5. Step 5: Solve for x
    x = 117,401,149,357.23/379,205.23
  6. Step 6: Final answer
    x = 309,597.92

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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.