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Finding the Fourth Proportional to 463,720, 695,377.44 and 164,101

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Solution

The fourth proportional to 463,720, 695,377.44 and 164,101 is: 246,079.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,720 : 695,377.44 = 164,101 : x
  2. Step 2: Convert to fraction form
    463,720/695,377.44 = 164,101/x
  3. Step 3: Cross multiply
    463,720x = 695,377.44 × 164,101
  4. Step 4: Simplify right side
    463,720x = 114,112,133,281.44
  5. Step 5: Solve for x
    x = 114,112,133,281.44/463,720
  6. Step 6: Final answer
    x = 246,079.82

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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.