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Finding the Fourth Proportional to 406,400.64, 560,779.74 and 234,325.08

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Solution

The fourth proportional to 406,400.64, 560,779.74 and 234,325.08 is: 323,337.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,400.64 : 560,779.74 = 234,325.08 : x
  2. Step 2: Convert to fraction form
    406,400.64/560,779.74 = 234,325.08/x
  3. Step 3: Cross multiply
    406,400.64x = 560,779.74 × 234,325.08
  4. Step 4: Simplify right side
    406,400.64x = 131,404,757,437.88
  5. Step 5: Solve for x
    x = 131,404,757,437.88/406,400.64
  6. Step 6: Final answer
    x = 323,337.97

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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.