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Finding the Fourth Proportional to 309,612.30, 464,418.45 and 191,514.30

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Solution

The fourth proportional to 309,612.30, 464,418.45 and 191,514.30 is: 287,271.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,612.30 : 464,418.45 = 191,514.30 : x
  2. Step 2: Convert to fraction form
    309,612.30/464,418.45 = 191,514.30/x
  3. Step 3: Cross multiply
    309,612.30x = 464,418.45 × 191,514.30
  4. Step 4: Simplify right side
    309,612.30x = 88,942,774,358.84
  5. Step 5: Solve for x
    x = 88,942,774,358.84/309,612.30
  6. Step 6: Final answer
    x = 287,271.45

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.