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Finding the Fourth Proportional to 280,218.30, 420,327.45 and 256,598.70

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Solution

The fourth proportional to 280,218.30, 420,327.45 and 256,598.70 is: 384,898.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,218.30 : 420,327.45 = 256,598.70 : x
  2. Step 2: Convert to fraction form
    280,218.30/420,327.45 = 256,598.70/x
  3. Step 3: Cross multiply
    280,218.30x = 420,327.45 × 256,598.70
  4. Step 4: Simplify right side
    280,218.30x = 107,855,477,244.32
  5. Step 5: Solve for x
    x = 107,855,477,244.32/280,218.30
  6. Step 6: Final answer
    x = 384,898.05

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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.