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Finding the Fourth Proportional to 421,876.10, 633,015.58 and 197,203.89

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Solution

The fourth proportional to 421,876.10, 633,015.58 and 197,203.89 is: 295,900.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,876.10 : 633,015.58 = 197,203.89 : x
  2. Step 2: Convert to fraction form
    421,876.10/633,015.58 = 197,203.89/x
  3. Step 3: Cross multiply
    421,876.10x = 633,015.58 × 197,203.89
  4. Step 4: Simplify right side
    421,876.10x = 124,833,135,831.44
  5. Step 5: Solve for x
    x = 124,833,135,831.44/421,876.10
  6. Step 6: Final answer
    x = 295,900.00

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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.