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Finding the Fourth Proportional to 295,667, 407,541.30 and 231,023.24

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Solution

The fourth proportional to 295,667, 407,541.30 and 231,023.24 is: 318,437.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,667 : 407,541.30 = 231,023.24 : x
  2. Step 2: Convert to fraction form
    295,667/407,541.30 = 231,023.24/x
  3. Step 3: Cross multiply
    295,667x = 407,541.30 × 231,023.24
  4. Step 4: Simplify right side
    295,667x = 94,151,511,559.81
  5. Step 5: Solve for x
    x = 94,151,511,559.81/295,667
  6. Step 6: Final answer
    x = 318,437.67

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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.