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Finding the Fourth Proportional to 306,712.42, 459,456 and 243,639.34

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Solution

The fourth proportional to 306,712.42, 459,456 and 243,639.34 is: 364,972.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,712.42 : 459,456 = 243,639.34 : x
  2. Step 2: Convert to fraction form
    306,712.42/459,456 = 243,639.34/x
  3. Step 3: Cross multiply
    306,712.42x = 459,456 × 243,639.34
  4. Step 4: Simplify right side
    306,712.42x = 111,941,556,599.04
  5. Step 5: Solve for x
    x = 111,941,556,599.04/306,712.42
  6. Step 6: Final answer
    x = 364,972.36

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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.