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Finding the Fourth Proportional to 313,767.24, 433,035.64 and 186,442.94

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Solution

The fourth proportional to 313,767.24, 433,035.64 and 186,442.94 is: 257,313.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,767.24 : 433,035.64 = 186,442.94 : x
  2. Step 2: Convert to fraction form
    313,767.24/433,035.64 = 186,442.94/x
  3. Step 3: Cross multiply
    313,767.24x = 433,035.64 × 186,442.94
  4. Step 4: Simplify right side
    313,767.24x = 80,736,437,846.38
  5. Step 5: Solve for x
    x = 80,736,437,846.38/313,767.24
  6. Step 6: Final answer
    x = 257,313.15

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.