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Finding the Fourth Proportional to 460,632.30, 635,664.15 and 259,428.30

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Solution

The fourth proportional to 460,632.30, 635,664.15 and 259,428.30 is: 358,006.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,632.30 : 635,664.15 = 259,428.30 : x
  2. Step 2: Convert to fraction form
    460,632.30/635,664.15 = 259,428.30/x
  3. Step 3: Cross multiply
    460,632.30x = 635,664.15 × 259,428.30
  4. Step 4: Simplify right side
    460,632.30x = 164,909,269,805.45
  5. Step 5: Solve for x
    x = 164,909,269,805.45/460,632.30
  6. Step 6: Final answer
    x = 358,006.31

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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.