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Finding the Fourth Proportional to 382,220.36, 573,416.40 and 129,486.32

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Solution

The fourth proportional to 382,220.36, 573,416.40 and 129,486.32 is: 194,258.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,220.36 : 573,416.40 = 129,486.32 : x
  2. Step 2: Convert to fraction form
    382,220.36/573,416.40 = 129,486.32/x
  3. Step 3: Cross multiply
    382,220.36x = 573,416.40 × 129,486.32
  4. Step 4: Simplify right side
    382,220.36x = 74,249,579,463.65
  5. Step 5: Solve for x
    x = 74,249,579,463.65/382,220.36
  6. Step 6: Final answer
    x = 194,258.57

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.