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Finding the Fourth Proportional to 422,590.61, 633,909 and 107,050.25

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Solution

The fourth proportional to 422,590.61, 633,909 and 107,050.25 is: 160,581.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,590.61 : 633,909 = 107,050.25 : x
  2. Step 2: Convert to fraction form
    422,590.61/633,909 = 107,050.25/x
  3. Step 3: Cross multiply
    422,590.61x = 633,909 × 107,050.25
  4. Step 4: Simplify right side
    422,590.61x = 67,860,116,927.25
  5. Step 5: Solve for x
    x = 67,860,116,927.25/422,590.61
  6. Step 6: Final answer
    x = 160,581.22

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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.