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Finding the Fourth Proportional to 312,806.07, 431,672.09 and 169,564.86

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Solution

The fourth proportional to 312,806.07, 431,672.09 and 169,564.86 is: 233,999.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,806.07 : 431,672.09 = 169,564.86 : x
  2. Step 2: Convert to fraction form
    312,806.07/431,672.09 = 169,564.86/x
  3. Step 3: Cross multiply
    312,806.07x = 431,672.09 × 169,564.86
  4. Step 4: Simplify right side
    312,806.07x = 73,196,416,658.93
  5. Step 5: Solve for x
    x = 73,196,416,658.93/312,806.07
  6. Step 6: Final answer
    x = 233,999.35

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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.