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Finding the Fourth Proportional to 595,714.52, 822,094.36 and 323,782.34

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Solution

The fourth proportional to 595,714.52, 822,094.36 and 323,782.34 is: 446,824.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    595,714.52 : 822,094.36 = 323,782.34 : x
  2. Step 2: Convert to fraction form
    595,714.52/822,094.36 = 323,782.34/x
  3. Step 3: Cross multiply
    595,714.52x = 822,094.36 × 323,782.34
  4. Step 4: Simplify right side
    595,714.52x = 266,179,630,661.68
  5. Step 5: Solve for x
    x = 266,179,630,661.68/595,714.52
  6. Step 6: Final answer
    x = 446,824.14

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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.