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Finding the Fourth Proportional to 406,226.35, 561,662.48 and 355,780.75

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Solution

The fourth proportional to 406,226.35, 561,662.48 and 355,780.75 is: 491,914.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,226.35 : 561,662.48 = 355,780.75 : x
  2. Step 2: Convert to fraction form
    406,226.35/561,662.48 = 355,780.75/x
  3. Step 3: Cross multiply
    406,226.35x = 561,662.48 × 355,780.75
  4. Step 4: Simplify right side
    406,226.35x = 199,828,698,381.26
  5. Step 5: Solve for x
    x = 199,828,698,381.26/406,226.35
  6. Step 6: Final answer
    x = 491,914.66

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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.