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Finding the Fourth Proportional to 383,978.62, 529,886.91 and 211,898.17

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Solution

The fourth proportional to 383,978.62, 529,886.91 and 211,898.17 is: 292,417.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,978.62 : 529,886.91 = 211,898.17 : x
  2. Step 2: Convert to fraction form
    383,978.62/529,886.91 = 211,898.17/x
  3. Step 3: Cross multiply
    383,978.62x = 529,886.91 × 211,898.17
  4. Step 4: Simplify right side
    383,978.62x = 112,282,066,535.96
  5. Step 5: Solve for x
    x = 112,282,066,535.96/383,978.62
  6. Step 6: Final answer
    x = 292,417.50

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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.