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Finding the Fourth Proportional to 406,115.34, 559,187.34 and 360,714.42

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Solution

The fourth proportional to 406,115.34, 559,187.34 and 360,714.42 is: 496,674.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,115.34 : 559,187.34 = 360,714.42 : x
  2. Step 2: Convert to fraction form
    406,115.34/559,187.34 = 360,714.42/x
  3. Step 3: Cross multiply
    406,115.34x = 559,187.34 × 360,714.42
  4. Step 4: Simplify right side
    406,115.34x = 201,706,937,019.44
  5. Step 5: Solve for x
    x = 201,706,937,019.44/406,115.34
  6. Step 6: Final answer
    x = 496,674.02

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.