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Finding the Fourth Proportional to 301,122.78, 414,506.49 and 260,268.30

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Solution

The fourth proportional to 301,122.78, 414,506.49 and 260,268.30 is: 358,268.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,122.78 : 414,506.49 = 260,268.30 : x
  2. Step 2: Convert to fraction form
    301,122.78/414,506.49 = 260,268.30/x
  3. Step 3: Cross multiply
    301,122.78x = 414,506.49 × 260,268.30
  4. Step 4: Simplify right side
    301,122.78x = 107,882,899,491.27
  5. Step 5: Solve for x
    x = 107,882,899,491.27/301,122.78
  6. Step 6: Final answer
    x = 358,268.81

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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.