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Finding the Fourth Proportional to 463,166.26, 695,081.19 and 197,113.66

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Solution

The fourth proportional to 463,166.26, 695,081.19 and 197,113.66 is: 295,811.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,166.26 : 695,081.19 = 197,113.66 : x
  2. Step 2: Convert to fraction form
    463,166.26/695,081.19 = 197,113.66/x
  3. Step 3: Cross multiply
    463,166.26x = 695,081.19 × 197,113.66
  4. Step 4: Simplify right side
    463,166.26x = 137,009,997,358.06
  5. Step 5: Solve for x
    x = 137,009,997,358.06/463,166.26
  6. Step 6: Final answer
    x = 295,811.70

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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.