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Finding the Fourth Proportional to 463,555.85, 695,626.28 and 197,315.93

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Solution

The fourth proportional to 463,555.85, 695,626.28 and 197,315.93 is: 296,098.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,555.85 : 695,626.28 = 197,315.93 : x
  2. Step 2: Convert to fraction form
    463,555.85/695,626.28 = 197,315.93/x
  3. Step 3: Cross multiply
    463,555.85x = 695,626.28 × 197,315.93
  4. Step 4: Simplify right side
    463,555.85x = 137,258,147,863.06
  5. Step 5: Solve for x
    x = 137,258,147,863.06/463,555.85
  6. Step 6: Final answer
    x = 296,098.41

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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.