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Finding the Fourth Proportional to 382,941, 528,529.44 and 221,796

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Solution

The fourth proportional to 382,941, 528,529.44 and 221,796 is: 306,119.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,941 : 528,529.44 = 221,796 : x
  2. Step 2: Convert to fraction form
    382,941/528,529.44 = 221,796/x
  3. Step 3: Cross multiply
    382,941x = 528,529.44 × 221,796
  4. Step 4: Simplify right side
    382,941x = 117,225,715,674.24
  5. Step 5: Solve for x
    x = 117,225,715,674.24/382,941
  6. Step 6: Final answer
    x = 306,119.52

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.