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Finding the Fourth Proportional to 294,014.40, 439,984.80 and 204,849.60

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Solution

The fourth proportional to 294,014.40, 439,984.80 and 204,849.60 is: 306,552.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,014.40 : 439,984.80 = 204,849.60 : x
  2. Step 2: Convert to fraction form
    294,014.40/439,984.80 = 204,849.60/x
  3. Step 3: Cross multiply
    294,014.40x = 439,984.80 × 204,849.60
  4. Step 4: Simplify right side
    294,014.40x = 90,130,710,286.08
  5. Step 5: Solve for x
    x = 90,130,710,286.08/294,014.40
  6. Step 6: Final answer
    x = 306,552.03

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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.