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Finding the Fourth Proportional to 310,626.10, 465,887.25 and 86,009.24

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Solution

The fourth proportional to 310,626.10, 465,887.25 and 86,009.24 is: 128,999.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,626.10 : 465,887.25 = 86,009.24 : x
  2. Step 2: Convert to fraction form
    310,626.10/465,887.25 = 86,009.24/x
  3. Step 3: Cross multiply
    310,626.10x = 465,887.25 × 86,009.24
  4. Step 4: Simplify right side
    310,626.10x = 40,070,607,910.70
  5. Step 5: Solve for x
    x = 40,070,607,910.70/310,626.10
  6. Step 6: Final answer
    x = 128,999.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.