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Finding the Fourth Proportional to 289,205.40, 433,808.10 and 254,213.40

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Solution

The fourth proportional to 289,205.40, 433,808.10 and 254,213.40 is: 381,320.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,205.40 : 433,808.10 = 254,213.40 : x
  2. Step 2: Convert to fraction form
    289,205.40/433,808.10 = 254,213.40/x
  3. Step 3: Cross multiply
    289,205.40x = 433,808.10 × 254,213.40
  4. Step 4: Simplify right side
    289,205.40x = 110,279,832,048.54
  5. Step 5: Solve for x
    x = 110,279,832,048.54/289,205.40
  6. Step 6: Final answer
    x = 381,320.10

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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.