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Finding the Fourth Proportional to 304,208.70, 456,390.81 and 117,169.98

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Solution

The fourth proportional to 304,208.70, 456,390.81 and 117,169.98 is: 175,784.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,208.70 : 456,390.81 = 117,169.98 : x
  2. Step 2: Convert to fraction form
    304,208.70/456,390.81 = 117,169.98/x
  3. Step 3: Cross multiply
    304,208.70x = 456,390.81 × 117,169.98
  4. Step 4: Simplify right side
    304,208.70x = 53,475,302,079.88
  5. Step 5: Solve for x
    x = 53,475,302,079.88/304,208.70
  6. Step 6: Final answer
    x = 175,784.92

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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.