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Finding the Fourth Proportional to 335,105.70, 462,291.74 and 296,904.22

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Solution

The fourth proportional to 335,105.70, 462,291.74 and 296,904.22 is: 409,591.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    335,105.70 : 462,291.74 = 296,904.22 : x
  2. Step 2: Convert to fraction form
    335,105.70/462,291.74 = 296,904.22/x
  3. Step 3: Cross multiply
    335,105.70x = 462,291.74 × 296,904.22
  4. Step 4: Simplify right side
    335,105.70x = 137,256,368,477.14
  5. Step 5: Solve for x
    x = 137,256,368,477.14/335,105.70
  6. Step 6: Final answer
    x = 409,591.27

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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.