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Finding the Fourth Proportional to 406,146.16, 560,408.40 and 234,033.04

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Solution

The fourth proportional to 406,146.16, 560,408.40 and 234,033.04 is: 322,923.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,146.16 : 560,408.40 = 234,033.04 : x
  2. Step 2: Convert to fraction form
    406,146.16/560,408.40 = 234,033.04/x
  3. Step 3: Cross multiply
    406,146.16x = 560,408.40 × 234,033.04
  4. Step 4: Simplify right side
    406,146.16x = 131,154,081,493.54
  5. Step 5: Solve for x
    x = 131,154,081,493.54/406,146.16
  6. Step 6: Final answer
    x = 322,923.36

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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.