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Finding the Fourth Proportional to 463,161.76, 695,074.44 and 197,109.16

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Solution

The fourth proportional to 463,161.76, 695,074.44 and 197,109.16 is: 295,804.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,161.76 : 695,074.44 = 197,109.16 : x
  2. Step 2: Convert to fraction form
    463,161.76/695,074.44 = 197,109.16/x
  3. Step 3: Cross multiply
    463,161.76x = 695,074.44 × 197,109.16
  4. Step 4: Simplify right side
    463,161.76x = 137,005,539,005.87
  5. Step 5: Solve for x
    x = 137,005,539,005.87/463,161.76
  6. Step 6: Final answer
    x = 295,804.95

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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.