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Finding the Fourth Proportional to 319,852.16, 479,780.48 and 109,491.84

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Solution

The fourth proportional to 319,852.16, 479,780.48 and 109,491.84 is: 164,238.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,852.16 : 479,780.48 = 109,491.84 : x
  2. Step 2: Convert to fraction form
    319,852.16/479,780.48 = 109,491.84/x
  3. Step 3: Cross multiply
    319,852.16x = 479,780.48 × 109,491.84
  4. Step 4: Simplify right side
    319,852.16x = 52,532,047,551.28
  5. Step 5: Solve for x
    x = 52,532,047,551.28/319,852.16
  6. Step 6: Final answer
    x = 164,238.53

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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.