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Finding the Fourth Proportional to 382,627.64, 528,025.74 and 212,858.12

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Solution

The fourth proportional to 382,627.64, 528,025.74 and 212,858.12 is: 293,743.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,627.64 : 528,025.74 = 212,858.12 : x
  2. Step 2: Convert to fraction form
    382,627.64/528,025.74 = 212,858.12/x
  3. Step 3: Cross multiply
    382,627.64x = 528,025.74 × 212,858.12
  4. Step 4: Simplify right side
    382,627.64x = 112,394,566,328.01
  5. Step 5: Solve for x
    x = 112,394,566,328.01/382,627.64
  6. Step 6: Final answer
    x = 293,743.98

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Why These Related Problems?

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