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Finding the Fourth Proportional to 346,958.94, 478,656.69 and 232,274.52

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Solution

The fourth proportional to 346,958.94, 478,656.69 and 232,274.52 is: 320,440.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,958.94 : 478,656.69 = 232,274.52 : x
  2. Step 2: Convert to fraction form
    346,958.94/478,656.69 = 232,274.52/x
  3. Step 3: Cross multiply
    346,958.94x = 478,656.69 × 232,274.52
  4. Step 4: Simplify right side
    346,958.94x = 111,179,752,914.54
  5. Step 5: Solve for x
    x = 111,179,752,914.54/346,958.94
  6. Step 6: Final answer
    x = 320,440.66

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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.