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Finding the Fourth Proportional to 335,852.72, 463,457.40 and 201,690.80

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Solution

The fourth proportional to 335,852.72, 463,457.40 and 201,690.80 is: 278,321.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    335,852.72 : 463,457.40 = 201,690.80 : x
  2. Step 2: Convert to fraction form
    335,852.72/463,457.40 = 201,690.80/x
  3. Step 3: Cross multiply
    335,852.72x = 463,457.40 × 201,690.80
  4. Step 4: Simplify right side
    335,852.72x = 93,475,093,771.92
  5. Step 5: Solve for x
    x = 93,475,093,771.92/335,852.72
  6. Step 6: Final answer
    x = 278,321.68

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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.