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Finding the Fourth Proportional to 294,499.20, 441,092.70 and 242,011.20

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Solution

The fourth proportional to 294,499.20, 441,092.70 and 242,011.20 is: 362,477.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,499.20 : 441,092.70 = 242,011.20 : x
  2. Step 2: Convert to fraction form
    294,499.20/441,092.70 = 242,011.20/x
  3. Step 3: Cross multiply
    294,499.20x = 441,092.70 × 242,011.20
  4. Step 4: Simplify right side
    294,499.20x = 106,749,373,638.24
  5. Step 5: Solve for x
    x = 106,749,373,638.24/294,499.20
  6. Step 6: Final answer
    x = 362,477.64

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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.