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Finding the Fourth Proportional to 304,796.58, 457,028.21 and 242,019.96

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Solution

The fourth proportional to 304,796.58, 457,028.21 and 242,019.96 is: 362,897.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,796.58 : 457,028.21 = 242,019.96 : x
  2. Step 2: Convert to fraction form
    304,796.58/457,028.21 = 242,019.96/x
  3. Step 3: Cross multiply
    304,796.58x = 457,028.21 × 242,019.96
  4. Step 4: Simplify right side
    304,796.58x = 110,609,947,892.97
  5. Step 5: Solve for x
    x = 110,609,947,892.97/304,796.58
  6. Step 6: Final answer
    x = 362,897.60

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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.