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Finding the Fourth Proportional to 382,042.12, 527,207.70 and 212,271.88

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Solution

The fourth proportional to 382,042.12, 527,207.70 and 212,271.88 is: 292,929.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,042.12 : 527,207.70 = 212,271.88 : x
  2. Step 2: Convert to fraction form
    382,042.12/527,207.70 = 212,271.88/x
  3. Step 3: Cross multiply
    382,042.12x = 527,207.70 × 212,271.88
  4. Step 4: Simplify right side
    382,042.12x = 111,911,369,629.48
  5. Step 5: Solve for x
    x = 111,911,369,629.48/382,042.12
  6. Step 6: Final answer
    x = 292,929.40

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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.