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Finding the Fourth Proportional to 380,056.95, 570,250.82 and 238,227.27

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Solution

The fourth proportional to 380,056.95, 570,250.82 and 238,227.27 is: 357,444.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,056.95 : 570,250.82 = 238,227.27 : x
  2. Step 2: Convert to fraction form
    380,056.95/570,250.82 = 238,227.27/x
  3. Step 3: Cross multiply
    380,056.95x = 570,250.82 × 238,227.27
  4. Step 4: Simplify right side
    380,056.95x = 135,849,296,063.86
  5. Step 5: Solve for x
    x = 135,849,296,063.86/380,056.95
  6. Step 6: Final answer
    x = 357,444.58

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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.