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Finding the Fourth Proportional to 356,817.20, 534,448.20 and 294,609.20

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Solution

The fourth proportional to 356,817.20, 534,448.20 and 294,609.20 is: 441,271.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,817.20 : 534,448.20 = 294,609.20 : x
  2. Step 2: Convert to fraction form
    356,817.20/534,448.20 = 294,609.20/x
  3. Step 3: Cross multiply
    356,817.20x = 534,448.20 × 294,609.20
  4. Step 4: Simplify right side
    356,817.20x = 157,453,356,643.44
  5. Step 5: Solve for x
    x = 157,453,356,643.44/356,817.20
  6. Step 6: Final answer
    x = 441,271.77

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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.