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Finding the Fourth Proportional to 381,432.38, 526,401.35 and 211,666.50

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Solution

The fourth proportional to 381,432.38, 526,401.35 and 211,666.50 is: 292,113.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,432.38 : 526,401.35 = 211,666.50 : x
  2. Step 2: Convert to fraction form
    381,432.38/526,401.35 = 211,666.50/x
  3. Step 3: Cross multiply
    381,432.38x = 526,401.35 × 211,666.50
  4. Step 4: Simplify right side
    381,432.38x = 111,421,531,085.19
  5. Step 5: Solve for x
    x = 111,421,531,085.19/381,432.38
  6. Step 6: Final answer
    x = 292,113.46

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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.