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Finding the Fourth Proportional to 420,427.64, 580,184.70 and 257,029.58

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Solution

The fourth proportional to 420,427.64, 580,184.70 and 257,029.58 is: 354,697.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,427.64 : 580,184.70 = 257,029.58 : x
  2. Step 2: Convert to fraction form
    420,427.64/580,184.70 = 257,029.58/x
  3. Step 3: Cross multiply
    420,427.64x = 580,184.70 × 257,029.58
  4. Step 4: Simplify right side
    420,427.64x = 149,124,629,763.43
  5. Step 5: Solve for x
    x = 149,124,629,763.43/420,427.64
  6. Step 6: Final answer
    x = 354,697.49

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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.