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Finding the Fourth Proportional to 380,408.48, 524,957.28 and 210,638.96

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Solution

The fourth proportional to 380,408.48, 524,957.28 and 210,638.96 is: 290,678.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,408.48 : 524,957.28 = 210,638.96 : x
  2. Step 2: Convert to fraction form
    380,408.48/524,957.28 = 210,638.96/x
  3. Step 3: Cross multiply
    380,408.48x = 524,957.28 × 210,638.96
  4. Step 4: Simplify right side
    380,408.48x = 110,576,455,503.63
  5. Step 5: Solve for x
    x = 110,576,455,503.63/380,408.48
  6. Step 6: Final answer
    x = 290,678.21

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