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Finding the Fourth Proportional to 231,464.64, 346,630.76 and 209,026.02

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Solution

The fourth proportional to 231,464.64, 346,630.76 and 209,026.02 is: 313,027.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,464.64 : 346,630.76 = 209,026.02 : x
  2. Step 2: Convert to fraction form
    231,464.64/346,630.76 = 209,026.02/x
  3. Step 3: Cross multiply
    231,464.64x = 346,630.76 × 209,026.02
  4. Step 4: Simplify right side
    231,464.64x = 72,454,848,172.38
  5. Step 5: Solve for x
    x = 72,454,848,172.38/231,464.64
  6. Step 6: Final answer
    x = 313,027.72

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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.