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Finding the Fourth Proportional to 314,452.08, 434,213.55 and 304,284.15

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Solution

The fourth proportional to 314,452.08, 434,213.55 and 304,284.15 is: 420,173.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,452.08 : 434,213.55 = 304,284.15 : x
  2. Step 2: Convert to fraction form
    314,452.08/434,213.55 = 304,284.15/x
  3. Step 3: Cross multiply
    314,452.08x = 434,213.55 × 304,284.15
  4. Step 4: Simplify right side
    314,452.08x = 132,124,300,980.23
  5. Step 5: Solve for x
    x = 132,124,300,980.23/314,452.08
  6. Step 6: Final answer
    x = 420,173.09

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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.