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Finding the Fourth Proportional to 405,037.75, 558,533.47 and 347,866.38

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Solution

The fourth proportional to 405,037.75, 558,533.47 and 347,866.38 is: 479,696.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,037.75 : 558,533.47 = 347,866.38 : x
  2. Step 2: Convert to fraction form
    405,037.75/558,533.47 = 347,866.38/x
  3. Step 3: Cross multiply
    405,037.75x = 558,533.47 × 347,866.38
  4. Step 4: Simplify right side
    405,037.75x = 194,295,016,317.74
  5. Step 5: Solve for x
    x = 194,295,016,317.74/405,037.75
  6. Step 6: Final answer
    x = 479,696.07

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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.