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Finding the Fourth Proportional to 632,048.76, 948,447.30 and 232,969.84

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Solution

The fourth proportional to 632,048.76, 948,447.30 and 232,969.84 is: 349,592.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    632,048.76 : 948,447.30 = 232,969.84 : x
  2. Step 2: Convert to fraction form
    632,048.76/948,447.30 = 232,969.84/x
  3. Step 3: Cross multiply
    632,048.76x = 948,447.30 × 232,969.84
  4. Step 4: Simplify right side
    632,048.76x = 220,959,615,729.43
  5. Step 5: Solve for x
    x = 220,959,615,729.43/632,048.76
  6. Step 6: Final answer
    x = 349,592.67

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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.