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Finding the Fourth Proportional to 460,262.04, 635,009.40 and 269,140.14

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Solution

The fourth proportional to 460,262.04, 635,009.40 and 269,140.14 is: 371,324.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,262.04 : 635,009.40 = 269,140.14 : x
  2. Step 2: Convert to fraction form
    460,262.04/635,009.40 = 269,140.14/x
  3. Step 3: Cross multiply
    460,262.04x = 635,009.40 × 269,140.14
  4. Step 4: Simplify right side
    460,262.04x = 170,906,518,817.32
  5. Step 5: Solve for x
    x = 170,906,518,817.32/460,262.04
  6. Step 6: Final answer
    x = 371,324.38

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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.