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Finding the Fourth Proportional to 460,386.40, 635,431.28 and 309,395.92

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Solution

The fourth proportional to 460,386.40, 635,431.28 and 309,395.92 is: 427,032.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,386.40 : 635,431.28 = 309,395.92 : x
  2. Step 2: Convert to fraction form
    460,386.40/635,431.28 = 309,395.92/x
  3. Step 3: Cross multiply
    460,386.40x = 635,431.28 × 309,395.92
  4. Step 4: Simplify right side
    460,386.40x = 196,599,845,472.38
  5. Step 5: Solve for x
    x = 196,599,845,472.38/460,386.40
  6. Step 6: Final answer
    x = 427,032.26

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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.