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Finding the Fourth Proportional to 401,538.92, 601,505.30 and 241,526.48

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Solution

The fourth proportional to 401,538.92, 601,505.30 and 241,526.48 is: 361,806.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,538.92 : 601,505.30 = 241,526.48 : x
  2. Step 2: Convert to fraction form
    401,538.92/601,505.30 = 241,526.48/x
  3. Step 3: Cross multiply
    401,538.92x = 601,505.30 × 241,526.48
  4. Step 4: Simplify right side
    401,538.92x = 145,279,457,810.34
  5. Step 5: Solve for x
    x = 145,279,457,810.34/401,538.92
  6. Step 6: Final answer
    x = 361,806.67

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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.