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Finding the Fourth Proportional to 276,024.96, 380,643.84 and 175,248

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Solution

The fourth proportional to 276,024.96, 380,643.84 and 175,248 is: 241,670.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,024.96 : 380,643.84 = 175,248 : x
  2. Step 2: Convert to fraction form
    276,024.96/380,643.84 = 175,248/x
  3. Step 3: Cross multiply
    276,024.96x = 380,643.84 × 175,248
  4. Step 4: Simplify right side
    276,024.96x = 66,707,071,672.32
  5. Step 5: Solve for x
    x = 66,707,071,672.32/276,024.96
  6. Step 6: Final answer
    x = 241,670.43

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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.