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Finding the Fourth Proportional to 463,401.40, 695,102.10 and 163,879.60

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Solution

The fourth proportional to 463,401.40, 695,102.10 and 163,879.60 is: 245,819.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,401.40 : 695,102.10 = 163,879.60 : x
  2. Step 2: Convert to fraction form
    463,401.40/695,102.10 = 163,879.60/x
  3. Step 3: Cross multiply
    463,401.40x = 695,102.10 × 163,879.60
  4. Step 4: Simplify right side
    463,401.40x = 113,913,054,107.16
  5. Step 5: Solve for x
    x = 113,913,054,107.16/463,401.40
  6. Step 6: Final answer
    x = 245,819.40

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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.