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Finding the Fourth Proportional to 469,778.58, 705,037.23 and 217,175.22

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Solution

The fourth proportional to 469,778.58, 705,037.23 and 217,175.22 is: 325,933.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,778.58 : 705,037.23 = 217,175.22 : x
  2. Step 2: Convert to fraction form
    469,778.58/705,037.23 = 217,175.22/x
  3. Step 3: Cross multiply
    469,778.58x = 705,037.23 × 217,175.22
  4. Step 4: Simplify right side
    469,778.58x = 153,116,615,533.44
  5. Step 5: Solve for x
    x = 153,116,615,533.44/469,778.58
  6. Step 6: Final answer
    x = 325,933.58

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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.