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Finding the Fourth Proportional to 382,624.64, 528,021.60 and 212,855.12

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Solution

The fourth proportional to 382,624.64, 528,021.60 and 212,855.12 is: 293,739.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,624.64 : 528,021.60 = 212,855.12 : x
  2. Step 2: Convert to fraction form
    382,624.64/528,021.60 = 212,855.12/x
  3. Step 3: Cross multiply
    382,624.64x = 528,021.60 × 212,855.12
  4. Step 4: Simplify right side
    382,624.64x = 112,392,101,030.59
  5. Step 5: Solve for x
    x = 112,392,101,030.59/382,624.64
  6. Step 6: Final answer
    x = 293,739.84

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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.