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Finding the Fourth Proportional to 596,539.62, 822,910.86 and 354,650.13

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Solution

The fourth proportional to 596,539.62, 822,910.86 and 354,650.13 is: 489,230.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    596,539.62 : 822,910.86 = 354,650.13 : x
  2. Step 2: Convert to fraction form
    596,539.62/822,910.86 = 354,650.13/x
  3. Step 3: Cross multiply
    596,539.62x = 822,910.86 × 354,650.13
  4. Step 4: Simplify right side
    596,539.62x = 291,845,443,477.41
  5. Step 5: Solve for x
    x = 291,845,443,477.41/596,539.62
  6. Step 6: Final answer
    x = 489,230.61

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.