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Finding the Fourth Proportional to 519,714.40, 779,830.80 and 295,247.20

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Solution

The fourth proportional to 519,714.40, 779,830.80 and 295,247.20 is: 443,018.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,714.40 : 779,830.80 = 295,247.20 : x
  2. Step 2: Convert to fraction form
    519,714.40/779,830.80 = 295,247.20/x
  3. Step 3: Cross multiply
    519,714.40x = 779,830.80 × 295,247.20
  4. Step 4: Simplify right side
    519,714.40x = 230,242,860,173.76
  5. Step 5: Solve for x
    x = 230,242,860,173.76/519,714.40
  6. Step 6: Final answer
    x = 443,018.05

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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.