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Finding the Fourth Proportional to 292,563.36, 403,735.10 and 158,427.36

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Solution

The fourth proportional to 292,563.36, 403,735.10 and 158,427.36 is: 218,628.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,563.36 : 403,735.10 = 158,427.36 : x
  2. Step 2: Convert to fraction form
    292,563.36/403,735.10 = 158,427.36/x
  3. Step 3: Cross multiply
    292,563.36x = 403,735.10 × 158,427.36
  4. Step 4: Simplify right side
    292,563.36x = 63,962,686,032.34
  5. Step 5: Solve for x
    x = 63,962,686,032.34/292,563.36
  6. Step 6: Final answer
    x = 218,628.49

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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.