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Finding the Fourth Proportional to 383,357.51, 529,036.95 and 211,281.78

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Solution

The fourth proportional to 383,357.51, 529,036.95 and 211,281.78 is: 291,570.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,357.51 : 529,036.95 = 211,281.78 : x
  2. Step 2: Convert to fraction form
    383,357.51/529,036.95 = 211,281.78/x
  3. Step 3: Cross multiply
    383,357.51x = 529,036.95 × 211,281.78
  4. Step 4: Simplify right side
    383,357.51x = 111,775,868,481.77
  5. Step 5: Solve for x
    x = 111,775,868,481.77/383,357.51
  6. Step 6: Final answer
    x = 291,570.83

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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.