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Finding the Fourth Proportional to 467,114.40, 700,412.40 and 200,829.60

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Solution

The fourth proportional to 467,114.40, 700,412.40 and 200,829.60 is: 301,132.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,114.40 : 700,412.40 = 200,829.60 : x
  2. Step 2: Convert to fraction form
    467,114.40/700,412.40 = 200,829.60/x
  3. Step 3: Cross multiply
    467,114.40x = 700,412.40 × 200,829.60
  4. Step 4: Simplify right side
    467,114.40x = 140,663,542,127.04
  5. Step 5: Solve for x
    x = 140,663,542,127.04/467,114.40
  6. Step 6: Final answer
    x = 301,132.96

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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.