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Finding the Fourth Proportional to 400,775.76, 601,174.56 and 120,293.04

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Solution

The fourth proportional to 400,775.76, 601,174.56 and 120,293.04 is: 180,442.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,775.76 : 601,174.56 = 120,293.04 : x
  2. Step 2: Convert to fraction form
    400,775.76/601,174.56 = 120,293.04/x
  3. Step 3: Cross multiply
    400,775.76x = 601,174.56 × 120,293.04
  4. Step 4: Simplify right side
    400,775.76x = 72,317,115,393.06
  5. Step 5: Solve for x
    x = 72,317,115,393.06/400,775.76
  6. Step 6: Final answer
    x = 180,442.84

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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.