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Finding the Fourth Proportional to 432,014.40, 648,021.60 and 304,833.60

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Solution

The fourth proportional to 432,014.40, 648,021.60 and 304,833.60 is: 457,250.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,014.40 : 648,021.60 = 304,833.60 : x
  2. Step 2: Convert to fraction form
    432,014.40/648,021.60 = 304,833.60/x
  3. Step 3: Cross multiply
    432,014.40x = 648,021.60 × 304,833.60
  4. Step 4: Simplify right side
    432,014.40x = 197,538,757,205.76
  5. Step 5: Solve for x
    x = 197,538,757,205.76/432,014.40
  6. Step 6: Final answer
    x = 457,250.40

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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.