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Finding the Fourth Proportional to 312,436.46, 431,161.46 and 169,196.47

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Solution

The fourth proportional to 312,436.46, 431,161.46 and 169,196.47 is: 233,490.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,436.46 : 431,161.46 = 169,196.47 : x
  2. Step 2: Convert to fraction form
    312,436.46/431,161.46 = 169,196.47/x
  3. Step 3: Cross multiply
    312,436.46x = 431,161.46 × 169,196.47
  4. Step 4: Simplify right side
    312,436.46x = 72,950,997,032.05
  5. Step 5: Solve for x
    x = 72,950,997,032.05/312,436.46
  6. Step 6: Final answer
    x = 233,490.67

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1.5x scale

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.