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Finding the Fourth Proportional to 413,598.53, 570,620.63 and 270,442.37

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Solution

The fourth proportional to 413,598.53, 570,620.63 and 270,442.37 is: 373,115.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,598.53 : 570,620.63 = 270,442.37 : x
  2. Step 2: Convert to fraction form
    413,598.53/570,620.63 = 270,442.37/x
  3. Step 3: Cross multiply
    413,598.53x = 570,620.63 × 270,442.37
  4. Step 4: Simplify right side
    413,598.53x = 154,319,994,195.88
  5. Step 5: Solve for x
    x = 154,319,994,195.88/413,598.53
  6. Step 6: Final answer
    x = 373,115.43

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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.