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Finding the Fourth Proportional to 397,434.93, 597,356.82 and 262,957.67

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Solution

The fourth proportional to 397,434.93, 597,356.82 and 262,957.67 is: 395,233.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,434.93 : 597,356.82 = 262,957.67 : x
  2. Step 2: Convert to fraction form
    397,434.93/597,356.82 = 262,957.67/x
  3. Step 3: Cross multiply
    397,434.93x = 597,356.82 × 262,957.67
  4. Step 4: Simplify right side
    397,434.93x = 157,079,559,039.20
  5. Step 5: Solve for x
    x = 157,079,559,039.20/397,434.93
  6. Step 6: Final answer
    x = 395,233.40

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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.