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Finding the Fourth Proportional to 417,488.37, 626,230.86 and 151,186.69

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Solution

The fourth proportional to 417,488.37, 626,230.86 and 151,186.69 is: 226,779.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,488.37 : 626,230.86 = 151,186.69 : x
  2. Step 2: Convert to fraction form
    417,488.37/626,230.86 = 151,186.69/x
  3. Step 3: Cross multiply
    417,488.37x = 626,230.86 × 151,186.69
  4. Step 4: Simplify right side
    417,488.37x = 94,677,770,899.25
  5. Step 5: Solve for x
    x = 94,677,770,899.25/417,488.37
  6. Step 6: Final answer
    x = 226,779.42

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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.