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Finding the Fourth Proportional to 464,503.56, 696,588.26 and 160,815.26

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Solution

The fourth proportional to 464,503.56, 696,588.26 and 160,815.26 is: 241,165.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,503.56 : 696,588.26 = 160,815.26 : x
  2. Step 2: Convert to fraction form
    464,503.56/696,588.26 = 160,815.26/x
  3. Step 3: Cross multiply
    464,503.56x = 696,588.26 × 160,815.26
  4. Step 4: Simplify right side
    464,503.56x = 112,022,022,144.85
  5. Step 5: Solve for x
    x = 112,022,022,144.85/464,503.56
  6. Step 6: Final answer
    x = 241,165.05

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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.