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Finding the Fourth Proportional to 367,513.77, 507,080.30 and 214,464.63

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Solution

The fourth proportional to 367,513.77, 507,080.30 and 214,464.63 is: 295,909.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,513.77 : 507,080.30 = 214,464.63 : x
  2. Step 2: Convert to fraction form
    367,513.77/507,080.30 = 214,464.63/x
  3. Step 3: Cross multiply
    367,513.77x = 507,080.30 × 214,464.63
  4. Step 4: Simplify right side
    367,513.77x = 108,750,787,847.47
  5. Step 5: Solve for x
    x = 108,750,787,847.47/367,513.77
  6. Step 6: Final answer
    x = 295,909.42

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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.