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Finding the Fourth Proportional to 309,703.93, 464,500.54 and 197,049.51

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Solution

The fourth proportional to 309,703.93, 464,500.54 and 197,049.51 is: 295,539.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,703.93 : 464,500.54 = 197,049.51 : x
  2. Step 2: Convert to fraction form
    309,703.93/464,500.54 = 197,049.51/x
  3. Step 3: Cross multiply
    309,703.93x = 464,500.54 × 197,049.51
  4. Step 4: Simplify right side
    309,703.93x = 91,529,604,419.21
  5. Step 5: Solve for x
    x = 91,529,604,419.21/309,703.93
  6. Step 6: Final answer
    x = 295,539.05

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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.