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Finding the Fourth Proportional to 256,607.70, 384,182.55 and 242,643.30

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Solution

The fourth proportional to 256,607.70, 384,182.55 and 242,643.30 is: 363,275.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,607.70 : 384,182.55 = 242,643.30 : x
  2. Step 2: Convert to fraction form
    256,607.70/384,182.55 = 242,643.30/x
  3. Step 3: Cross multiply
    256,607.70x = 384,182.55 × 242,643.30
  4. Step 4: Simplify right side
    256,607.70x = 93,219,321,734.42
  5. Step 5: Solve for x
    x = 93,219,321,734.42/256,607.70
  6. Step 6: Final answer
    x = 363,275.62

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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.