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Finding the Fourth Proportional to 460,384.38, 635,428.48 and 309,393.90

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Solution

The fourth proportional to 460,384.38, 635,428.48 and 309,393.90 is: 427,029.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,384.38 : 635,428.48 = 309,393.90 : x
  2. Step 2: Convert to fraction form
    460,384.38/635,428.48 = 309,393.90/x
  3. Step 3: Cross multiply
    460,384.38x = 635,428.48 × 309,393.90
  4. Step 4: Simplify right side
    460,384.38x = 196,597,695,598.27
  5. Step 5: Solve for x
    x = 196,597,695,598.27/460,384.38
  6. Step 6: Final answer
    x = 427,029.47

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.