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Finding the Fourth Proportional to 382,873.68, 528,365.70 and 213,104.16

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Solution

The fourth proportional to 382,873.68, 528,365.70 and 213,104.16 is: 294,083.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,873.68 : 528,365.70 = 213,104.16 : x
  2. Step 2: Convert to fraction form
    382,873.68/528,365.70 = 213,104.16/x
  3. Step 3: Cross multiply
    382,873.68x = 528,365.70 × 213,104.16
  4. Step 4: Simplify right side
    382,873.68x = 112,596,928,671.31
  5. Step 5: Solve for x
    x = 112,596,928,671.31/382,873.68
  6. Step 6: Final answer
    x = 294,083.75

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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.