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Finding the Fourth Proportional to 304,164.07, 456,379.47 and 144,355.42

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Solution

The fourth proportional to 304,164.07, 456,379.47 and 144,355.42 is: 216,596.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,164.07 : 456,379.47 = 144,355.42 : x
  2. Step 2: Convert to fraction form
    304,164.07/456,379.47 = 144,355.42/x
  3. Step 3: Cross multiply
    304,164.07x = 456,379.47 × 144,355.42
  4. Step 4: Simplify right side
    304,164.07x = 65,880,850,641.70
  5. Step 5: Solve for x
    x = 65,880,850,641.70/304,164.07
  6. Step 6: Final answer
    x = 216,596.43

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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.