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Finding the Fourth Proportional to 385,756.25, 532,320.14 and 213,664.01

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Solution

The fourth proportional to 385,756.25, 532,320.14 and 213,664.01 is: 294,843.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,756.25 : 532,320.14 = 213,664.01 : x
  2. Step 2: Convert to fraction form
    385,756.25/532,320.14 = 213,664.01/x
  3. Step 3: Cross multiply
    385,756.25x = 532,320.14 × 213,664.01
  4. Step 4: Simplify right side
    385,756.25x = 113,737,654,647.84
  5. Step 5: Solve for x
    x = 113,737,654,647.84/385,756.25
  6. Step 6: Final answer
    x = 294,843.32

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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.