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Finding the Fourth Proportional to 301,101.12, 414,476.46 and 260,246.48

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Solution

The fourth proportional to 301,101.12, 414,476.46 and 260,246.48 is: 358,238.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,101.12 : 414,476.46 = 260,246.48 : x
  2. Step 2: Convert to fraction form
    301,101.12/414,476.46 = 260,246.48/x
  3. Step 3: Cross multiply
    301,101.12x = 414,476.46 × 260,246.48
  4. Step 4: Simplify right side
    301,101.12x = 107,866,039,757.86
  5. Step 5: Solve for x
    x = 107,866,039,757.86/301,101.12
  6. Step 6: Final answer
    x = 358,238.59

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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.