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Finding the Fourth Proportional to 495,833.85, 743,750.70 and 327,314.69

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Solution

The fourth proportional to 495,833.85, 743,750.70 and 327,314.69 is: 490,971.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    495,833.85 : 743,750.70 = 327,314.69 : x
  2. Step 2: Convert to fraction form
    495,833.85/743,750.70 = 327,314.69/x
  3. Step 3: Cross multiply
    495,833.85x = 743,750.70 × 327,314.69
  4. Step 4: Simplify right side
    495,833.85x = 243,440,526,089.03
  5. Step 5: Solve for x
    x = 243,440,526,089.03/495,833.85
  6. Step 6: Final answer
    x = 490,971.98

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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.