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Finding the Fourth Proportional to 382,900.14, 574,350 and 102,410.10

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Solution

The fourth proportional to 382,900.14, 574,350 and 102,410.10 is: 153,615.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,900.14 : 574,350 = 102,410.10 : x
  2. Step 2: Convert to fraction form
    382,900.14/574,350 = 102,410.10/x
  3. Step 3: Cross multiply
    382,900.14x = 574,350 × 102,410.10
  4. Step 4: Simplify right side
    382,900.14x = 58,819,240,935
  5. Step 5: Solve for x
    x = 58,819,240,935/382,900.14
  6. Step 6: Final answer
    x = 153,615.09

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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.