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Finding the Fourth Proportional to 377,507.54, 566,359.32 and 140,852

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Solution

The fourth proportional to 377,507.54, 566,359.32 and 140,852 is: 211,314.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    377,507.54 : 566,359.32 = 140,852 : x
  2. Step 2: Convert to fraction form
    377,507.54/566,359.32 = 140,852/x
  3. Step 3: Cross multiply
    377,507.54x = 566,359.32 × 140,852
  4. Step 4: Simplify right side
    377,507.54x = 79,772,842,940.64
  5. Step 5: Solve for x
    x = 79,772,842,940.64/377,507.54
  6. Step 6: Final answer
    x = 211,314.57

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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.