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Finding the Fourth Proportional to 294,809.20, 442,213.80 and 201,497.20

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Solution

The fourth proportional to 294,809.20, 442,213.80 and 201,497.20 is: 302,245.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,809.20 : 442,213.80 = 201,497.20 : x
  2. Step 2: Convert to fraction form
    294,809.20/442,213.80 = 201,497.20/x
  3. Step 3: Cross multiply
    294,809.20x = 442,213.80 × 201,497.20
  4. Step 4: Simplify right side
    294,809.20x = 89,104,842,501.36
  5. Step 5: Solve for x
    x = 89,104,842,501.36/294,809.20
  6. Step 6: Final answer
    x = 302,245.80

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.