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Finding the Fourth Proportional to 382,829.50, 574,200.43 and 102,368.62

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Solution

The fourth proportional to 382,829.50, 574,200.43 and 102,368.62 is: 153,541.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,829.50 : 574,200.43 = 102,368.62 : x
  2. Step 2: Convert to fraction form
    382,829.50/574,200.43 = 102,368.62/x
  3. Step 3: Cross multiply
    382,829.50x = 574,200.43 × 102,368.62
  4. Step 4: Simplify right side
    382,829.50x = 58,780,105,622.51
  5. Step 5: Solve for x
    x = 58,780,105,622.51/382,829.50
  6. Step 6: Final answer
    x = 153,541.21

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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.