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Finding the Fourth Proportional to 458,512.40, 687,768.60 and 142,966.80

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Solution

The fourth proportional to 458,512.40, 687,768.60 and 142,966.80 is: 214,450.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,512.40 : 687,768.60 = 142,966.80 : x
  2. Step 2: Convert to fraction form
    458,512.40/687,768.60 = 142,966.80/x
  3. Step 3: Cross multiply
    458,512.40x = 687,768.60 × 142,966.80
  4. Step 4: Simplify right side
    458,512.40x = 98,328,075,882.48
  5. Step 5: Solve for x
    x = 98,328,075,882.48/458,512.40
  6. Step 6: Final answer
    x = 214,450.20

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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.