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Finding the Fourth Proportional to 508,338.92, 762,513.86 and 153,356.02

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Solution

The fourth proportional to 508,338.92, 762,513.86 and 153,356.02 is: 230,035.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    508,338.92 : 762,513.86 = 153,356.02 : x
  2. Step 2: Convert to fraction form
    508,338.92/762,513.86 = 153,356.02/x
  3. Step 3: Cross multiply
    508,338.92x = 762,513.86 × 153,356.02
  4. Step 4: Simplify right side
    508,338.92x = 116,936,086,185.09
  5. Step 5: Solve for x
    x = 116,936,086,185.09/508,338.92
  6. Step 6: Final answer
    x = 230,035.67

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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.