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Finding the Fourth Proportional to 304,598.94, 457,317.68 and 154,940.50

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Solution

The fourth proportional to 304,598.94, 457,317.68 and 154,940.50 is: 232,624.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,598.94 : 457,317.68 = 154,940.50 : x
  2. Step 2: Convert to fraction form
    304,598.94/457,317.68 = 154,940.50/x
  3. Step 3: Cross multiply
    304,598.94x = 457,317.68 × 154,940.50
  4. Step 4: Simplify right side
    304,598.94x = 70,857,029,998.04
  5. Step 5: Solve for x
    x = 70,857,029,998.04/304,598.94
  6. Step 6: Final answer
    x = 232,624.02

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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.