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Finding the Fourth Proportional to 375,335.60, 563,099.40 and 264,743.60

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Solution

The fourth proportional to 375,335.60, 563,099.40 and 264,743.60 is: 397,183.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,335.60 : 563,099.40 = 264,743.60 : x
  2. Step 2: Convert to fraction form
    375,335.60/563,099.40 = 264,743.60/x
  3. Step 3: Cross multiply
    375,335.60x = 563,099.40 × 264,743.60
  4. Step 4: Simplify right side
    375,335.60x = 149,076,962,313.84
  5. Step 5: Solve for x
    x = 149,076,962,313.84/375,335.60
  6. Step 6: Final answer
    x = 397,183.11

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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.