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Finding the Fourth Proportional to 356,814.20, 534,443.70 and 294,606.20

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Solution

The fourth proportional to 356,814.20, 534,443.70 and 294,606.20 is: 441,267.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,814.20 : 534,443.70 = 294,606.20 : x
  2. Step 2: Convert to fraction form
    356,814.20/534,443.70 = 294,606.20/x
  3. Step 3: Cross multiply
    356,814.20x = 534,443.70 × 294,606.20
  4. Step 4: Simplify right side
    356,814.20x = 157,450,427,570.94
  5. Step 5: Solve for x
    x = 157,450,427,570.94/356,814.20
  6. Step 6: Final answer
    x = 441,267.27

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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.