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Finding the Fourth Proportional to 454,533.86, 682,001.64 and 238,340.96

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Solution

The fourth proportional to 454,533.86, 682,001.64 and 238,340.96 is: 357,616.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    454,533.86 : 682,001.64 = 238,340.96 : x
  2. Step 2: Convert to fraction form
    454,533.86/682,001.64 = 238,340.96/x
  3. Step 3: Cross multiply
    454,533.86x = 682,001.64 × 238,340.96
  4. Step 4: Simplify right side
    454,533.86x = 162,548,925,599.17
  5. Step 5: Solve for x
    x = 162,548,925,599.17/454,533.86
  6. Step 6: Final answer
    x = 357,616.76

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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.