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Finding the Fourth Proportional to 595,714.08, 822,093.75 and 323,781.89

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Solution

The fourth proportional to 595,714.08, 822,093.75 and 323,781.89 is: 446,823.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    595,714.08 : 822,093.75 = 323,781.89 : x
  2. Step 2: Convert to fraction form
    595,714.08/822,093.75 = 323,781.89/x
  3. Step 3: Cross multiply
    595,714.08x = 822,093.75 × 323,781.89
  4. Step 4: Simplify right side
    595,714.08x = 266,179,068,132.19
  5. Step 5: Solve for x
    x = 266,179,068,132.19/595,714.08
  6. Step 6: Final answer
    x = 446,823.53

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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.