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Finding the Fourth Proportional to 276,032.96, 380,654.88 and 175,256

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Solution

The fourth proportional to 276,032.96, 380,654.88 and 175,256 is: 241,681.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,032.96 : 380,654.88 = 175,256 : x
  2. Step 2: Convert to fraction form
    276,032.96/380,654.88 = 175,256/x
  3. Step 3: Cross multiply
    276,032.96x = 380,654.88 × 175,256
  4. Step 4: Simplify right side
    276,032.96x = 66,712,051,649.28
  5. Step 5: Solve for x
    x = 66,712,051,649.28/276,032.96
  6. Step 6: Final answer
    x = 241,681.47

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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.