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Finding the Fourth Proportional to 425,821.90, 638,998.77 and 283,766.86

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Solution

The fourth proportional to 425,821.90, 638,998.77 and 283,766.86 is: 425,827.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    425,821.90 : 638,998.77 = 283,766.86 : x
  2. Step 2: Convert to fraction form
    425,821.90/638,998.77 = 283,766.86/x
  3. Step 3: Cross multiply
    425,821.90x = 638,998.77 × 283,766.86
  4. Step 4: Simplify right side
    425,821.90x = 181,326,674,506.76
  5. Step 5: Solve for x
    x = 181,326,674,506.76/425,821.90
  6. Step 6: Final answer
    x = 425,827.50

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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.