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Finding the Fourth Proportional to 469,357.92, 704,386.64 and 188,877.28

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Solution

The fourth proportional to 469,357.92, 704,386.64 and 188,877.28 is: 283,456.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,357.92 : 704,386.64 = 188,877.28 : x
  2. Step 2: Convert to fraction form
    469,357.92/704,386.64 = 188,877.28/x
  3. Step 3: Cross multiply
    469,357.92x = 704,386.64 × 188,877.28
  4. Step 4: Simplify right side
    469,357.92x = 133,042,632,631.54
  5. Step 5: Solve for x
    x = 133,042,632,631.54/469,357.92
  6. Step 6: Final answer
    x = 283,456.67

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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.