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Finding the Fourth Proportional to 304,538.70, 456,529.41 and 117,409.26

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Solution

The fourth proportional to 304,538.70, 456,529.41 and 117,409.26 is: 176,006.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,538.70 : 456,529.41 = 117,409.26 : x
  2. Step 2: Convert to fraction form
    304,538.70/456,529.41 = 117,409.26/x
  3. Step 3: Cross multiply
    304,538.70x = 456,529.41 × 117,409.26
  4. Step 4: Simplify right side
    304,538.70x = 53,600,780,196.34
  5. Step 5: Solve for x
    x = 53,600,780,196.34/304,538.70
  6. Step 6: Final answer
    x = 176,006.47

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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.