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Finding the Fourth Proportional to 260,738.40, 390,524.40 and 225,746.40

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Solution

The fourth proportional to 260,738.40, 390,524.40 and 225,746.40 is: 338,114.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,738.40 : 390,524.40 = 225,746.40 : x
  2. Step 2: Convert to fraction form
    260,738.40/390,524.40 = 225,746.40/x
  3. Step 3: Cross multiply
    260,738.40x = 390,524.40 × 225,746.40
  4. Step 4: Simplify right side
    260,738.40x = 88,159,477,412.16
  5. Step 5: Solve for x
    x = 88,159,477,412.16/260,738.40
  6. Step 6: Final answer
    x = 338,114.67

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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.