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Finding the Fourth Proportional to 596,294.86, 822,610.47 and 354,441.82

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Solution

The fourth proportional to 596,294.86, 822,610.47 and 354,441.82 is: 488,965.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    596,294.86 : 822,610.47 = 354,441.82 : x
  2. Step 2: Convert to fraction form
    596,294.86/822,610.47 = 354,441.82/x
  3. Step 3: Cross multiply
    596,294.86x = 822,610.47 × 354,441.82
  4. Step 4: Simplify right side
    596,294.86x = 291,567,552,137.86
  5. Step 5: Solve for x
    x = 291,567,552,137.86/596,294.86
  6. Step 6: Final answer
    x = 488,965.40

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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.