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Finding the Fourth Proportional to 296,754.54, 409,456.53 and 175,835.40

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Solution

The fourth proportional to 296,754.54, 409,456.53 and 175,835.40 is: 242,614.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,754.54 : 409,456.53 = 175,835.40 : x
  2. Step 2: Convert to fraction form
    296,754.54/409,456.53 = 175,835.40/x
  3. Step 3: Cross multiply
    296,754.54x = 409,456.53 × 175,835.40
  4. Step 4: Simplify right side
    296,754.54x = 71,996,952,735.16
  5. Step 5: Solve for x
    x = 71,996,952,735.16/296,754.54
  6. Step 6: Final answer
    x = 242,614.49

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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.