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Finding the Fourth Proportional to 340,973.13, 470,533.86 and 188,008.71

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Solution

The fourth proportional to 340,973.13, 470,533.86 and 188,008.71 is: 259,447.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,973.13 : 470,533.86 = 188,008.71 : x
  2. Step 2: Convert to fraction form
    340,973.13/470,533.86 = 188,008.71/x
  3. Step 3: Cross multiply
    340,973.13x = 470,533.86 × 188,008.71
  4. Step 4: Simplify right side
    340,973.13x = 88,464,464,912.17
  5. Step 5: Solve for x
    x = 88,464,464,912.17/340,973.13
  6. Step 6: Final answer
    x = 259,447.03

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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.