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Finding the Fourth Proportional to 460,412.40, 635,467.12 and 309,421.92

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Solution

The fourth proportional to 460,412.40, 635,467.12 and 309,421.92 is: 427,068.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,412.40 : 635,467.12 = 309,421.92 : x
  2. Step 2: Convert to fraction form
    460,412.40/635,467.12 = 309,421.92/x
  3. Step 3: Cross multiply
    460,412.40x = 635,467.12 × 309,421.92
  4. Step 4: Simplify right side
    460,412.40x = 196,627,456,367.27
  5. Step 5: Solve for x
    x = 196,627,456,367.27/460,412.40
  6. Step 6: Final answer
    x = 427,068.12

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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.