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Finding the Fourth Proportional to 492,849.30, 739,101.15 and 256,113.30

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Solution

The fourth proportional to 492,849.30, 739,101.15 and 256,113.30 is: 384,080.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,849.30 : 739,101.15 = 256,113.30 : x
  2. Step 2: Convert to fraction form
    492,849.30/739,101.15 = 256,113.30/x
  3. Step 3: Cross multiply
    492,849.30x = 739,101.15 × 256,113.30
  4. Step 4: Simplify right side
    492,849.30x = 189,293,634,560.30
  5. Step 5: Solve for x
    x = 189,293,634,560.30/492,849.30
  6. Step 6: Final answer
    x = 384,080.15

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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.