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Finding the Fourth Proportional to 294,796.60, 441,903.30 and 144,914.20

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Solution

The fourth proportional to 294,796.60, 441,903.30 and 144,914.20 is: 217,227.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,796.60 : 441,903.30 = 144,914.20 : x
  2. Step 2: Convert to fraction form
    294,796.60/441,903.30 = 144,914.20/x
  3. Step 3: Cross multiply
    294,796.60x = 441,903.30 × 144,914.20
  4. Step 4: Simplify right side
    294,796.60x = 64,038,063,196.86
  5. Step 5: Solve for x
    x = 64,038,063,196.86/294,796.60
  6. Step 6: Final answer
    x = 217,227.96

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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.