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Finding the Fourth Proportional to 382,358.56, 573,535.92 and 98,047.84

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Solution

The fourth proportional to 382,358.56, 573,535.92 and 98,047.84 is: 147,071.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,358.56 : 573,535.92 = 98,047.84 : x
  2. Step 2: Convert to fraction form
    382,358.56/573,535.92 = 98,047.84/x
  3. Step 3: Cross multiply
    382,358.56x = 573,535.92 × 98,047.84
  4. Step 4: Simplify right side
    382,358.56x = 56,233,958,118.41
  5. Step 5: Solve for x
    x = 56,233,958,118.41/382,358.56
  6. Step 6: Final answer
    x = 147,071.27

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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.