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Finding the Fourth Proportional to 437,166.40, 656,041.20 and 200,387.20

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Solution

The fourth proportional to 437,166.40, 656,041.20 and 200,387.20 is: 300,714.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    437,166.40 : 656,041.20 = 200,387.20 : x
  2. Step 2: Convert to fraction form
    437,166.40/656,041.20 = 200,387.20/x
  3. Step 3: Cross multiply
    437,166.40x = 656,041.20 × 200,387.20
  4. Step 4: Simplify right side
    437,166.40x = 131,462,259,152.64
  5. Step 5: Solve for x
    x = 131,462,259,152.64/437,166.40
  6. Step 6: Final answer
    x = 300,714.46

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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.