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Finding the Fourth Proportional to 501,914.72, 752,712.38 and 164,877.16

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Solution

The fourth proportional to 501,914.72, 752,712.38 and 164,877.16 is: 247,263.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    501,914.72 : 752,712.38 = 164,877.16 : x
  2. Step 2: Convert to fraction form
    501,914.72/752,712.38 = 164,877.16/x
  3. Step 3: Cross multiply
    501,914.72x = 752,712.38 × 164,877.16
  4. Step 4: Simplify right side
    501,914.72x = 124,105,079,511.24
  5. Step 5: Solve for x
    x = 124,105,079,511.24/501,914.72
  6. Step 6: Final answer
    x = 247,263.28

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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.