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Finding the Fourth Proportional to 385,775.44, 578,451.75 and 119,462.02

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Solution

The fourth proportional to 385,775.44, 578,451.75 and 119,462.02 is: 179,127.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,775.44 : 578,451.75 = 119,462.02 : x
  2. Step 2: Convert to fraction form
    385,775.44/578,451.75 = 119,462.02/x
  3. Step 3: Cross multiply
    385,775.44x = 578,451.75 × 119,462.02
  4. Step 4: Simplify right side
    385,775.44x = 69,103,014,527.54
  5. Step 5: Solve for x
    x = 69,103,014,527.54/385,775.44
  6. Step 6: Final answer
    x = 179,127.56

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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.