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Finding the Fourth Proportional to 326,715.85, 490,056.09 and 102,050.47

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Solution

The fourth proportional to 326,715.85, 490,056.09 and 102,050.47 is: 153,070.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    326,715.85 : 490,056.09 = 102,050.47 : x
  2. Step 2: Convert to fraction form
    326,715.85/490,056.09 = 102,050.47/x
  3. Step 3: Cross multiply
    326,715.85x = 490,056.09 × 102,050.47
  4. Step 4: Simplify right side
    326,715.85x = 50,010,454,310.86
  5. Step 5: Solve for x
    x = 50,010,454,310.86/326,715.85
  6. Step 6: Final answer
    x = 153,070.18

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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.