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Finding the Fourth Proportional to 346,067.40, 519,101.10 and 308,742.60

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Solution

The fourth proportional to 346,067.40, 519,101.10 and 308,742.60 is: 463,113.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,067.40 : 519,101.10 = 308,742.60 : x
  2. Step 2: Convert to fraction form
    346,067.40/519,101.10 = 308,742.60/x
  3. Step 3: Cross multiply
    346,067.40x = 519,101.10 × 308,742.60
  4. Step 4: Simplify right side
    346,067.40x = 160,268,623,276.86
  5. Step 5: Solve for x
    x = 160,268,623,276.86/346,067.40
  6. Step 6: Final answer
    x = 463,113.90

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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.