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Finding the Fourth Proportional to 264,873.48, 397,301.32 and 115,113.76

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Solution

The fourth proportional to 264,873.48, 397,301.32 and 115,113.76 is: 172,666.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,873.48 : 397,301.32 = 115,113.76 : x
  2. Step 2: Convert to fraction form
    264,873.48/397,301.32 = 115,113.76/x
  3. Step 3: Cross multiply
    264,873.48x = 397,301.32 × 115,113.76
  4. Step 4: Simplify right side
    264,873.48x = 45,734,848,798.16
  5. Step 5: Solve for x
    x = 45,734,848,798.16/264,873.48
  6. Step 6: Final answer
    x = 172,666.77

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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.