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Finding the Fourth Proportional to 304,684.93, 456,756.37 and 144,662.14

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Solution

The fourth proportional to 304,684.93, 456,756.37 and 144,662.14 is: 216,864.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,684.93 : 456,756.37 = 144,662.14 : x
  2. Step 2: Convert to fraction form
    304,684.93/456,756.37 = 144,662.14/x
  3. Step 3: Cross multiply
    304,684.93x = 456,756.37 × 144,662.14
  4. Step 4: Simplify right side
    304,684.93x = 66,075,353,942.83
  5. Step 5: Solve for x
    x = 66,075,353,942.83/304,684.93
  6. Step 6: Final answer
    x = 216,864.53

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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.