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Finding the Fourth Proportional to 463,557.35, 695,628.53 and 197,317.44

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Solution

The fourth proportional to 463,557.35, 695,628.53 and 197,317.44 is: 296,100.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,557.35 : 695,628.53 = 197,317.44 : x
  2. Step 2: Convert to fraction form
    463,557.35/695,628.53 = 197,317.44/x
  3. Step 3: Cross multiply
    463,557.35x = 695,628.53 × 197,317.44
  4. Step 4: Simplify right side
    463,557.35x = 137,259,639,743.98
  5. Step 5: Solve for x
    x = 137,259,639,743.98/463,557.35
  6. Step 6: Final answer
    x = 296,100.67

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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.