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Finding the Fourth Proportional to 630,638.72, 945,136.64 and 256,224

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Solution

The fourth proportional to 630,638.72, 945,136.64 and 256,224 is: 384,002.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    630,638.72 : 945,136.64 = 256,224 : x
  2. Step 2: Convert to fraction form
    630,638.72/945,136.64 = 256,224/x
  3. Step 3: Cross multiply
    630,638.72x = 945,136.64 × 256,224
  4. Step 4: Simplify right side
    630,638.72x = 242,166,690,447.36
  5. Step 5: Solve for x
    x = 242,166,690,447.36/630,638.72
  6. Step 6: Final answer
    x = 384,002.25

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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.