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Finding the Fourth Proportional to 309,635.20, 432,964.40 and 309,635.20

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Solution

The fourth proportional to 309,635.20, 432,964.40 and 309,635.20 is: 432,964.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,635.20 : 432,964.40 = 309,635.20 : x
  2. Step 2: Convert to fraction form
    309,635.20/432,964.40 = 309,635.20/x
  3. Step 3: Cross multiply
    309,635.20x = 432,964.40 × 309,635.20
  4. Step 4: Simplify right side
    309,635.20x = 134,061,018,586.88
  5. Step 5: Solve for x
    x = 134,061,018,586.88/309,635.20
  6. Step 6: Final answer
    x = 432,964.40

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.