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Finding the Fourth Proportional to 380,408.60, 524,957.46 and 210,639.08

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Solution

The fourth proportional to 380,408.60, 524,957.46 and 210,639.08 is: 290,678.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,408.60 : 524,957.46 = 210,639.08 : x
  2. Step 2: Convert to fraction form
    380,408.60/524,957.46 = 210,639.08/x
  3. Step 3: Cross multiply
    380,408.60x = 524,957.46 × 210,639.08
  4. Step 4: Simplify right side
    380,408.60x = 110,576,556,936.03
  5. Step 5: Solve for x
    x = 110,576,556,936.03/380,408.60
  6. Step 6: Final answer
    x = 290,678.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.