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Finding the Fourth Proportional to 463,866.16, 695,997.28 and 197,752

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Solution

The fourth proportional to 463,866.16, 695,997.28 and 197,752 is: 296,712.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,866.16 : 695,997.28 = 197,752 : x
  2. Step 2: Convert to fraction form
    463,866.16/695,997.28 = 197,752/x
  3. Step 3: Cross multiply
    463,866.16x = 695,997.28 × 197,752
  4. Step 4: Simplify right side
    463,866.16x = 137,634,854,114.56
  5. Step 5: Solve for x
    x = 137,634,854,114.56/463,866.16
  6. Step 6: Final answer
    x = 296,712.43

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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.