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Finding the Fourth Proportional to 427,452.58, 641,174.01 and 174,868.66

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Solution

The fourth proportional to 427,452.58, 641,174.01 and 174,868.66 is: 262,301.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,452.58 : 641,174.01 = 174,868.66 : x
  2. Step 2: Convert to fraction form
    427,452.58/641,174.01 = 174,868.66/x
  3. Step 3: Cross multiply
    427,452.58x = 641,174.01 × 174,868.66
  4. Step 4: Simplify right side
    427,452.58x = 112,121,239,955.53
  5. Step 5: Solve for x
    x = 112,121,239,955.53/427,452.58
  6. Step 6: Final answer
    x = 262,301.00

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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.