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Finding the Fourth Proportional to 296,989.38, 409,679.91 and 176,014.26

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Solution

The fourth proportional to 296,989.38, 409,679.91 and 176,014.26 is: 242,801.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,989.38 : 409,679.91 = 176,014.26 : x
  2. Step 2: Convert to fraction form
    296,989.38/409,679.91 = 176,014.26/x
  3. Step 3: Cross multiply
    296,989.38x = 409,679.91 × 176,014.26
  4. Step 4: Simplify right side
    296,989.38x = 72,109,506,195.52
  5. Step 5: Solve for x
    x = 72,109,506,195.52/296,989.38
  6. Step 6: Final answer
    x = 242,801.63

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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.