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Finding the Fourth Proportional to 319,406.94, 479,112.84 and 141,866.28

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Solution

The fourth proportional to 319,406.94, 479,112.84 and 141,866.28 is: 212,800.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,406.94 : 479,112.84 = 141,866.28 : x
  2. Step 2: Convert to fraction form
    319,406.94/479,112.84 = 141,866.28/x
  3. Step 3: Cross multiply
    319,406.94x = 479,112.84 × 141,866.28
  4. Step 4: Simplify right side
    319,406.94x = 67,969,956,311.04
  5. Step 5: Solve for x
    x = 67,969,956,311.04/319,406.94
  6. Step 6: Final answer
    x = 212,800.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.