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Finding the Fourth Proportional to 595,713.77, 822,093.32 and 323,781.58

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Solution

The fourth proportional to 595,713.77, 822,093.32 and 323,781.58 is: 446,823.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    595,713.77 : 822,093.32 = 323,781.58 : x
  2. Step 2: Convert to fraction form
    595,713.77/822,093.32 = 323,781.58/x
  3. Step 3: Cross multiply
    595,713.77x = 822,093.32 × 323,781.58
  4. Step 4: Simplify right side
    595,713.77x = 266,178,675,894.12
  5. Step 5: Solve for x
    x = 266,178,675,894.12/595,713.77
  6. Step 6: Final answer
    x = 446,823.11

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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.