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Finding the Fourth Proportional to 463,162.76, 695,075.94 and 197,110.16

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Solution

The fourth proportional to 463,162.76, 695,075.94 and 197,110.16 is: 295,806.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,162.76 : 695,075.94 = 197,110.16 : x
  2. Step 2: Convert to fraction form
    463,162.76/695,075.94 = 197,110.16/x
  3. Step 3: Cross multiply
    463,162.76x = 695,075.94 × 197,110.16
  4. Step 4: Simplify right side
    463,162.76x = 137,006,529,745.55
  5. Step 5: Solve for x
    x = 137,006,529,745.55/463,162.76
  6. Step 6: Final answer
    x = 295,806.45

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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.