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Finding the Fourth Proportional to 367,419.58, 507,068.31 and 206,285.20

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Solution

The fourth proportional to 367,419.58, 507,068.31 and 206,285.20 is: 284,690.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,419.58 : 507,068.31 = 206,285.20 : x
  2. Step 2: Convert to fraction form
    367,419.58/507,068.31 = 206,285.20/x
  3. Step 3: Cross multiply
    367,419.58x = 507,068.31 × 206,285.20
  4. Step 4: Simplify right side
    367,419.58x = 104,600,687,742.01
  5. Step 5: Solve for x
    x = 104,600,687,742.01/367,419.58
  6. Step 6: Final answer
    x = 284,690.02

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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.