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Finding the Fourth Proportional to 319,953.81, 441,498.49 and 176,705.31

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Solution

The fourth proportional to 319,953.81, 441,498.49 and 176,705.31 is: 243,832.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,953.81 : 441,498.49 = 176,705.31 : x
  2. Step 2: Convert to fraction form
    319,953.81/441,498.49 = 176,705.31/x
  3. Step 3: Cross multiply
    319,953.81x = 441,498.49 × 176,705.31
  4. Step 4: Simplify right side
    319,953.81x = 78,015,127,539.98
  5. Step 5: Solve for x
    x = 78,015,127,539.98/319,953.81
  6. Step 6: Final answer
    x = 243,832.47

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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.