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Finding the Fourth Proportional to 294,003.60, 441,089.14 and 144,288.86

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Solution

The fourth proportional to 294,003.60, 441,089.14 and 144,288.86 is: 216,474.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,003.60 : 441,089.14 = 144,288.86 : x
  2. Step 2: Convert to fraction form
    294,003.60/441,089.14 = 144,288.86/x
  3. Step 3: Cross multiply
    294,003.60x = 441,089.14 × 144,288.86
  4. Step 4: Simplify right side
    294,003.60x = 63,644,249,168.98
  5. Step 5: Solve for x
    x = 63,644,249,168.98/294,003.60
  6. Step 6: Final answer
    x = 216,474.39

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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.