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Finding the Fourth Proportional to 383,842.40, 529,678.62 and 211,762.58

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Solution

The fourth proportional to 383,842.40, 529,678.62 and 211,762.58 is: 292,219.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,842.40 : 529,678.62 = 211,762.58 : x
  2. Step 2: Convert to fraction form
    383,842.40/529,678.62 = 211,762.58/x
  3. Step 3: Cross multiply
    383,842.40x = 529,678.62 × 211,762.58
  4. Step 4: Simplify right side
    383,842.40x = 112,166,111,142.04
  5. Step 5: Solve for x
    x = 112,166,111,142.04/383,842.40
  6. Step 6: Final answer
    x = 292,219.18

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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.