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Finding the Fourth Proportional to 301,106.28, 414,483.72 and 260,251.80

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Solution

The fourth proportional to 301,106.28, 414,483.72 and 260,251.80 is: 358,246.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,106.28 : 414,483.72 = 260,251.80 : x
  2. Step 2: Convert to fraction form
    301,106.28/414,483.72 = 260,251.80/x
  3. Step 3: Cross multiply
    301,106.28x = 414,483.72 × 260,251.80
  4. Step 4: Simplify right side
    301,106.28x = 107,870,134,200.70
  5. Step 5: Solve for x
    x = 107,870,134,200.70/301,106.28
  6. Step 6: Final answer
    x = 358,246.05

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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.