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Finding the Fourth Proportional to 382,374.60, 573,561.90 and 133,056.60

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Solution

The fourth proportional to 382,374.60, 573,561.90 and 133,056.60 is: 199,584.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,374.60 : 573,561.90 = 133,056.60 : x
  2. Step 2: Convert to fraction form
    382,374.60/573,561.90 = 133,056.60/x
  3. Step 3: Cross multiply
    382,374.60x = 573,561.90 × 133,056.60
  4. Step 4: Simplify right side
    382,374.60x = 76,316,196,303.54
  5. Step 5: Solve for x
    x = 76,316,196,303.54/382,374.60
  6. Step 6: Final answer
    x = 199,584.90

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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.