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Finding the Fourth Proportional to 401,300.70, 602,037.45 and 120,846.30

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Solution

The fourth proportional to 401,300.70, 602,037.45 and 120,846.30 is: 181,295.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,300.70 : 602,037.45 = 120,846.30 : x
  2. Step 2: Convert to fraction form
    401,300.70/602,037.45 = 120,846.30/x
  3. Step 3: Cross multiply
    401,300.70x = 602,037.45 × 120,846.30
  4. Step 4: Simplify right side
    401,300.70x = 72,753,998,293.94
  5. Step 5: Solve for x
    x = 72,753,998,293.94/401,300.70
  6. Step 6: Final answer
    x = 181,295.47

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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.