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Finding the Fourth Proportional to 442,892.81, 664,017.36 and 176,573.45

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Solution

The fourth proportional to 442,892.81, 664,017.36 and 176,573.45 is: 264,731.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,892.81 : 664,017.36 = 176,573.45 : x
  2. Step 2: Convert to fraction form
    442,892.81/664,017.36 = 176,573.45/x
  3. Step 3: Cross multiply
    442,892.81x = 664,017.36 × 176,573.45
  4. Step 4: Simplify right side
    442,892.81x = 117,247,832,795.01
  5. Step 5: Solve for x
    x = 117,247,832,795.01/442,892.81
  6. Step 6: Final answer
    x = 264,731.85

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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.