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Finding the Fourth Proportional to 442,900.18, 664,028.43 and 176,580.82

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Solution

The fourth proportional to 442,900.18, 664,028.43 and 176,580.82 is: 264,742.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,900.18 : 664,028.43 = 176,580.82 : x
  2. Step 2: Convert to fraction form
    442,900.18/664,028.43 = 176,580.82/x
  3. Step 3: Cross multiply
    442,900.18x = 664,028.43 × 176,580.82
  4. Step 4: Simplify right side
    442,900.18x = 117,254,684,672.71
  5. Step 5: Solve for x
    x = 117,254,684,672.71/442,900.18
  6. Step 6: Final answer
    x = 264,742.91

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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.