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Finding the Fourth Proportional to 304,206.52, 456,274.91 and 79,588.63

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Solution

The fourth proportional to 304,206.52, 456,274.91 and 79,588.63 is: 119,373.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,206.52 : 456,274.91 = 79,588.63 : x
  2. Step 2: Convert to fraction form
    304,206.52/456,274.91 = 79,588.63/x
  3. Step 3: Cross multiply
    304,206.52x = 456,274.91 × 79,588.63
  4. Step 4: Simplify right side
    304,206.52x = 36,314,294,990.27
  5. Step 5: Solve for x
    x = 36,314,294,990.27/304,206.52
  6. Step 6: Final answer
    x = 119,373.82

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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.