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Finding the Fourth Proportional to 382,424.44, 573,637.74 and 116,187.16

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Solution

The fourth proportional to 382,424.44, 573,637.74 and 116,187.16 is: 174,281.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,424.44 : 573,637.74 = 116,187.16 : x
  2. Step 2: Convert to fraction form
    382,424.44/573,637.74 = 116,187.16/x
  3. Step 3: Cross multiply
    382,424.44x = 573,637.74 × 116,187.16
  4. Step 4: Simplify right side
    382,424.44x = 66,649,339,879.42
  5. Step 5: Solve for x
    x = 66,649,339,879.42/382,424.44
  6. Step 6: Final answer
    x = 174,281.07

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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.