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Finding the Fourth Proportional to 340,999.81, 470,569.44 and 188,037.93

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Solution

The fourth proportional to 340,999.81, 470,569.44 and 188,037.93 is: 259,486.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,999.81 : 470,569.44 = 188,037.93 : x
  2. Step 2: Convert to fraction form
    340,999.81/470,569.44 = 188,037.93/x
  3. Step 3: Cross multiply
    340,999.81x = 470,569.44 × 188,037.93
  4. Step 4: Simplify right side
    340,999.81x = 88,484,903,418.86
  5. Step 5: Solve for x
    x = 88,484,903,418.86/340,999.81
  6. Step 6: Final answer
    x = 259,486.66

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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.