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Finding the Fourth Proportional to 304,901.73, 420,795.54 and 175,845.24

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Solution

The fourth proportional to 304,901.73, 420,795.54 and 175,845.24 is: 242,684.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,901.73 : 420,795.54 = 175,845.24 : x
  2. Step 2: Convert to fraction form
    304,901.73/420,795.54 = 175,845.24/x
  3. Step 3: Cross multiply
    304,901.73x = 420,795.54 × 175,845.24
  4. Step 4: Simplify right side
    304,901.73x = 73,994,892,722.23
  5. Step 5: Solve for x
    x = 73,994,892,722.23/304,901.73
  6. Step 6: Final answer
    x = 242,684.40

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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.