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Finding the Fourth Proportional to 295,598.56, 442,989.06 and 256,057.60

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Solution

The fourth proportional to 295,598.56, 442,989.06 and 256,057.60 is: 383,732.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,598.56 : 442,989.06 = 256,057.60 : x
  2. Step 2: Convert to fraction form
    295,598.56/442,989.06 = 256,057.60/x
  3. Step 3: Cross multiply
    295,598.56x = 442,989.06 × 256,057.60
  4. Step 4: Simplify right side
    295,598.56x = 113,430,715,529.86
  5. Step 5: Solve for x
    x = 113,430,715,529.86/295,598.56
  6. Step 6: Final answer
    x = 383,732.30

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.