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Finding the Fourth Proportional to 301,101.37, 414,476.80 and 260,246.73

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Solution

The fourth proportional to 301,101.37, 414,476.80 and 260,246.73 is: 358,238.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,101.37 : 414,476.80 = 260,246.73 : x
  2. Step 2: Convert to fraction form
    301,101.37/414,476.80 = 260,246.73/x
  3. Step 3: Cross multiply
    301,101.37x = 414,476.80 × 260,246.73
  4. Step 4: Simplify right side
    301,101.37x = 107,866,231,860.86
  5. Step 5: Solve for x
    x = 107,866,231,860.86/301,101.37
  6. Step 6: Final answer
    x = 358,238.93

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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.