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Finding the Fourth Proportional to 259,806.48, 358,494.48 and 157,778.76

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Solution

The fourth proportional to 259,806.48, 358,494.48 and 157,778.76 is: 217,711.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,806.48 : 358,494.48 = 157,778.76 : x
  2. Step 2: Convert to fraction form
    259,806.48/358,494.48 = 157,778.76/x
  3. Step 3: Cross multiply
    259,806.48x = 358,494.48 × 157,778.76
  4. Step 4: Simplify right side
    259,806.48x = 56,562,814,521.24
  5. Step 5: Solve for x
    x = 56,562,814,521.24/259,806.48
  6. Step 6: Final answer
    x = 217,711.33

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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.