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Finding the Fourth Proportional to 406,400.14, 560,779.05 and 234,324.58

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Solution

The fourth proportional to 406,400.14, 560,779.05 and 234,324.58 is: 323,337.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,400.14 : 560,779.05 = 234,324.58 : x
  2. Step 2: Convert to fraction form
    406,400.14/560,779.05 = 234,324.58/x
  3. Step 3: Cross multiply
    406,400.14x = 560,779.05 × 234,324.58
  4. Step 4: Simplify right side
    406,400.14x = 131,404,315,364.05
  5. Step 5: Solve for x
    x = 131,404,315,364.05/406,400.14
  6. Step 6: Final answer
    x = 323,337.28

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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.