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Finding the Fourth Proportional to 416,784.27, 625,176.41 and 101,239.05

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Solution

The fourth proportional to 416,784.27, 625,176.41 and 101,239.05 is: 151,858.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,784.27 : 625,176.41 = 101,239.05 : x
  2. Step 2: Convert to fraction form
    416,784.27/625,176.41 = 101,239.05/x
  3. Step 3: Cross multiply
    416,784.27x = 625,176.41 × 101,239.05
  4. Step 4: Simplify right side
    416,784.27x = 63,292,265,830.81
  5. Step 5: Solve for x
    x = 63,292,265,830.81/416,784.27
  6. Step 6: Final answer
    x = 151,858.58

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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.