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Finding the Fourth Proportional to 382,562.34, 573,875.64 and 116,325.18

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Solution

The fourth proportional to 382,562.34, 573,875.64 and 116,325.18 is: 174,497.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,562.34 : 573,875.64 = 116,325.18 : x
  2. Step 2: Convert to fraction form
    382,562.34/573,875.64 = 116,325.18/x
  3. Step 3: Cross multiply
    382,562.34x = 573,875.64 × 116,325.18
  4. Step 4: Simplify right side
    382,562.34x = 66,756,187,120.62
  5. Step 5: Solve for x
    x = 66,756,187,120.62/382,562.34
  6. Step 6: Final answer
    x = 174,497.54

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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.