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Finding the Fourth Proportional to 301,097.40, 451,646.10 and 299,023.80

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Solution

The fourth proportional to 301,097.40, 451,646.10 and 299,023.80 is: 448,535.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,097.40 : 451,646.10 = 299,023.80 : x
  2. Step 2: Convert to fraction form
    301,097.40/451,646.10 = 299,023.80/x
  3. Step 3: Cross multiply
    301,097.40x = 451,646.10 × 299,023.80
  4. Step 4: Simplify right side
    301,097.40x = 135,052,933,077.18
  5. Step 5: Solve for x
    x = 135,052,933,077.18/301,097.40
  6. Step 6: Final answer
    x = 448,535.70

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.