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Finding the Fourth Proportional to 569,714.58, 854,308.40 and 209,794.55

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Solution

The fourth proportional to 569,714.58, 854,308.40 and 209,794.55 is: 314,594.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    569,714.58 : 854,308.40 = 209,794.55 : x
  2. Step 2: Convert to fraction form
    569,714.58/854,308.40 = 209,794.55/x
  3. Step 3: Cross multiply
    569,714.58x = 854,308.40 × 209,794.55
  4. Step 4: Simplify right side
    569,714.58x = 179,229,241,018.71
  5. Step 5: Solve for x
    x = 179,229,241,018.71/569,714.58
  6. Step 6: Final answer
    x = 314,594.79

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.