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Finding the Fourth Proportional to 319,580.88, 441,014 and 176,340.96

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Solution

The fourth proportional to 319,580.88, 441,014 and 176,340.96 is: 243,346.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,580.88 : 441,014 = 176,340.96 : x
  2. Step 2: Convert to fraction form
    319,580.88/441,014 = 176,340.96/x
  3. Step 3: Cross multiply
    319,580.88x = 441,014 × 176,340.96
  4. Step 4: Simplify right side
    319,580.88x = 77,768,832,133.44
  5. Step 5: Solve for x
    x = 77,768,832,133.44/319,580.88
  6. Step 6: Final answer
    x = 243,346.32

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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.