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Finding the Fourth Proportional to 295,147.40, 407,301.53 and 167,823

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Solution

The fourth proportional to 295,147.40, 407,301.53 and 167,823 is: 231,594.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,147.40 : 407,301.53 = 167,823 : x
  2. Step 2: Convert to fraction form
    295,147.40/407,301.53 = 167,823/x
  3. Step 3: Cross multiply
    295,147.40x = 407,301.53 × 167,823
  4. Step 4: Simplify right side
    295,147.40x = 68,354,563,830.08
  5. Step 5: Solve for x
    x = 68,354,563,830.08/295,147.40
  6. Step 6: Final answer
    x = 231,594.67

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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.