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Finding the Fourth Proportional to 419,130.54, 628,689.69 and 103,587.48

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Solution

The fourth proportional to 419,130.54, 628,689.69 and 103,587.48 is: 155,379.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,130.54 : 628,689.69 = 103,587.48 : x
  2. Step 2: Convert to fraction form
    419,130.54/628,689.69 = 103,587.48/x
  3. Step 3: Cross multiply
    419,130.54x = 628,689.69 × 103,587.48
  4. Step 4: Simplify right side
    419,130.54x = 65,124,380,689.08
  5. Step 5: Solve for x
    x = 65,124,380,689.08/419,130.54
  6. Step 6: Final answer
    x = 155,379.71

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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.