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Finding the Fourth Proportional to 292,538.52, 438,807.78 and 102,954.24

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Solution

The fourth proportional to 292,538.52, 438,807.78 and 102,954.24 is: 154,431.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,538.52 : 438,807.78 = 102,954.24 : x
  2. Step 2: Convert to fraction form
    292,538.52/438,807.78 = 102,954.24/x
  3. Step 3: Cross multiply
    292,538.52x = 438,807.78 × 102,954.24
  4. Step 4: Simplify right side
    292,538.52x = 45,177,121,495.99
  5. Step 5: Solve for x
    x = 45,177,121,495.99/292,538.52
  6. Step 6: Final answer
    x = 154,431.36

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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.