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Finding the Fourth Proportional to 462,289.01, 693,617.45 and 177,903.20

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Solution

The fourth proportional to 462,289.01, 693,617.45 and 177,903.20 is: 266,925.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,289.01 : 693,617.45 = 177,903.20 : x
  2. Step 2: Convert to fraction form
    462,289.01/693,617.45 = 177,903.20/x
  3. Step 3: Cross multiply
    462,289.01x = 693,617.45 × 177,903.20
  4. Step 4: Simplify right side
    462,289.01x = 123,396,764,775.37
  5. Step 5: Solve for x
    x = 123,396,764,775.37/462,289.01
  6. Step 6: Final answer
    x = 266,925.59

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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.