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Finding the Fourth Proportional to 294,004.59, 441,090.63 and 144,289.86

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Solution

The fourth proportional to 294,004.59, 441,090.63 and 144,289.86 is: 216,475.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,004.59 : 441,090.63 = 144,289.86 : x
  2. Step 2: Convert to fraction form
    294,004.59/441,090.63 = 144,289.86/x
  3. Step 3: Cross multiply
    294,004.59x = 441,090.63 × 144,289.86
  4. Step 4: Simplify right side
    294,004.59x = 63,644,905,250.01
  5. Step 5: Solve for x
    x = 63,644,905,250.01/294,004.59
  6. Step 6: Final answer
    x = 216,475.89

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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.