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Finding the Fourth Proportional to 538,903.53, 743,457.69 and 395,414.46

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Solution

The fourth proportional to 538,903.53, 743,457.69 and 395,414.46 is: 545,503.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,903.53 : 743,457.69 = 395,414.46 : x
  2. Step 2: Convert to fraction form
    538,903.53/743,457.69 = 395,414.46/x
  3. Step 3: Cross multiply
    538,903.53x = 743,457.69 × 395,414.46
  4. Step 4: Simplify right side
    538,903.53x = 293,973,921,024.20
  5. Step 5: Solve for x
    x = 293,973,921,024.20/538,903.53
  6. Step 6: Final answer
    x = 545,503.80

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.