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Finding the Fourth Proportional to 469,336.33, 647,575.63 and 316,657.77

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Solution

The fourth proportional to 469,336.33, 647,575.63 and 316,657.77 is: 436,914.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,336.33 : 647,575.63 = 316,657.77 : x
  2. Step 2: Convert to fraction form
    469,336.33/647,575.63 = 316,657.77/x
  3. Step 3: Cross multiply
    469,336.33x = 647,575.63 × 316,657.77
  4. Step 4: Simplify right side
    469,336.33x = 205,059,854,902.15
  5. Step 5: Solve for x
    x = 205,059,854,902.15/469,336.33
  6. Step 6: Final answer
    x = 436,914.51

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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.