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Finding the Fourth Proportional to 304,765.40, 457,148.10 and 259,664.60

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Solution

The fourth proportional to 304,765.40, 457,148.10 and 259,664.60 is: 389,496.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,765.40 : 457,148.10 = 259,664.60 : x
  2. Step 2: Convert to fraction form
    304,765.40/457,148.10 = 259,664.60/x
  3. Step 3: Cross multiply
    304,765.40x = 457,148.10 × 259,664.60
  4. Step 4: Simplify right side
    304,765.40x = 118,705,178,527.26
  5. Step 5: Solve for x
    x = 118,705,178,527.26/304,765.40
  6. Step 6: Final answer
    x = 389,496.90

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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.