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Finding the Fourth Proportional to 384,253.54, 575,199.24 and 327,566.50

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Solution

The fourth proportional to 384,253.54, 575,199.24 and 327,566.50 is: 490,342.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,253.54 : 575,199.24 = 327,566.50 : x
  2. Step 2: Convert to fraction form
    384,253.54/575,199.24 = 327,566.50/x
  3. Step 3: Cross multiply
    384,253.54x = 575,199.24 × 327,566.50
  4. Step 4: Simplify right side
    384,253.54x = 188,416,001,849.46
  5. Step 5: Solve for x
    x = 188,416,001,849.46/384,253.54
  6. Step 6: Final answer
    x = 490,342.92

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.