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Finding the Fourth Proportional to 630,705.72, 945,237.14 and 256,291

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Solution

The fourth proportional to 630,705.72, 945,237.14 and 256,291 is: 384,102.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    630,705.72 : 945,237.14 = 256,291 : x
  2. Step 2: Convert to fraction form
    630,705.72/945,237.14 = 256,291/x
  3. Step 3: Cross multiply
    630,705.72x = 945,237.14 × 256,291
  4. Step 4: Simplify right side
    630,705.72x = 242,255,771,847.74
  5. Step 5: Solve for x
    x = 242,255,771,847.74/630,705.72
  6. Step 6: Final answer
    x = 384,102.70

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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.