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Finding the Fourth Proportional to 433,076.54, 597,658.84 and 242,097.98

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Solution

The fourth proportional to 433,076.54, 597,658.84 and 242,097.98 is: 334,102.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    433,076.54 : 597,658.84 = 242,097.98 : x
  2. Step 2: Convert to fraction form
    433,076.54/597,658.84 = 242,097.98/x
  3. Step 3: Cross multiply
    433,076.54x = 597,658.84 × 242,097.98
  4. Step 4: Simplify right side
    433,076.54x = 144,691,994,299.60
  5. Step 5: Solve for x
    x = 144,691,994,299.60/433,076.54
  6. Step 6: Final answer
    x = 334,102.60

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.