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Finding the Fourth Proportional to 308,043.10, 461,567.85 and 174,526.30

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Solution

The fourth proportional to 308,043.10, 461,567.85 and 174,526.30 is: 261,507.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,043.10 : 461,567.85 = 174,526.30 : x
  2. Step 2: Convert to fraction form
    308,043.10/461,567.85 = 174,526.30/x
  3. Step 3: Cross multiply
    308,043.10x = 461,567.85 × 174,526.30
  4. Step 4: Simplify right side
    308,043.10x = 80,555,729,059.46
  5. Step 5: Solve for x
    x = 80,555,729,059.46/308,043.10
  6. Step 6: Final answer
    x = 261,507.98

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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.