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Finding the Fourth Proportional to 382,157.64, 527,364.60 and 212,388.12

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Solution

The fourth proportional to 382,157.64, 527,364.60 and 212,388.12 is: 293,088.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,157.64 : 527,364.60 = 212,388.12 : x
  2. Step 2: Convert to fraction form
    382,157.64/527,364.60 = 212,388.12/x
  3. Step 3: Cross multiply
    382,157.64x = 527,364.60 × 212,388.12
  4. Step 4: Simplify right side
    382,157.64x = 112,005,975,948.55
  5. Step 5: Solve for x
    x = 112,005,975,948.55/382,157.64
  6. Step 6: Final answer
    x = 293,088.41

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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.