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Finding the Fourth Proportional to 642,649.30, 963,536.55 and 305,851.30

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Solution

The fourth proportional to 642,649.30, 963,536.55 and 305,851.30 is: 458,568.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    642,649.30 : 963,536.55 = 305,851.30 : x
  2. Step 2: Convert to fraction form
    642,649.30/963,536.55 = 305,851.30/x
  3. Step 3: Cross multiply
    642,649.30x = 963,536.55 × 305,851.30
  4. Step 4: Simplify right side
    642,649.30x = 294,698,906,415.02
  5. Step 5: Solve for x
    x = 294,698,906,415.02/642,649.30
  6. Step 6: Final answer
    x = 458,568.78

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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.