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Finding the Fourth Proportional to 380,537.10, 570,393.63 and 247,512.42

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Solution

The fourth proportional to 380,537.10, 570,393.63 and 247,512.42 is: 371,000.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,537.10 : 570,393.63 = 247,512.42 : x
  2. Step 2: Convert to fraction form
    380,537.10/570,393.63 = 247,512.42/x
  3. Step 3: Cross multiply
    380,537.10x = 570,393.63 × 247,512.42
  4. Step 4: Simplify right side
    380,537.10x = 141,179,507,713.89
  5. Step 5: Solve for x
    x = 141,179,507,713.89/380,537.10
  6. Step 6: Final answer
    x = 371,000.64

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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.