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Finding the Fourth Proportional to 300,035.14, 413,853.40 and 192,434.74

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Solution

The fourth proportional to 300,035.14, 413,853.40 and 192,434.74 is: 265,434.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,035.14 : 413,853.40 = 192,434.74 : x
  2. Step 2: Convert to fraction form
    300,035.14/413,853.40 = 192,434.74/x
  3. Step 3: Cross multiply
    300,035.14x = 413,853.40 × 192,434.74
  4. Step 4: Simplify right side
    300,035.14x = 79,639,771,427.12
  5. Step 5: Solve for x
    x = 79,639,771,427.12/300,035.14
  6. Step 6: Final answer
    x = 265,434.81

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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.