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Finding the Fourth Proportional to 597,284.80, 824,253 and 329,012.80

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Solution

The fourth proportional to 597,284.80, 824,253 and 329,012.80 is: 454,037.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    597,284.80 : 824,253 = 329,012.80 : x
  2. Step 2: Convert to fraction form
    597,284.80/824,253 = 329,012.80/x
  3. Step 3: Cross multiply
    597,284.80x = 824,253 × 329,012.80
  4. Step 4: Simplify right side
    597,284.80x = 271,189,787,438.40
  5. Step 5: Solve for x
    x = 271,189,787,438.40/597,284.80
  6. Step 6: Final answer
    x = 454,037.65

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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.