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Finding the Fourth Proportional to 422,582.86, 633,897.51 and 107,042.50

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Solution

The fourth proportional to 422,582.86, 633,897.51 and 107,042.50 is: 160,569.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,582.86 : 633,897.51 = 107,042.50 : x
  2. Step 2: Convert to fraction form
    422,582.86/633,897.51 = 107,042.50/x
  3. Step 3: Cross multiply
    422,582.86x = 633,897.51 × 107,042.50
  4. Step 4: Simplify right side
    422,582.86x = 67,853,974,214.18
  5. Step 5: Solve for x
    x = 67,853,974,214.18/422,582.86
  6. Step 6: Final answer
    x = 160,569.63

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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.