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Finding the Fourth Proportional to 550,344.24, 759,407.40 and 323,946

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Solution

The fourth proportional to 550,344.24, 759,407.40 and 323,946 is: 447,005.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    550,344.24 : 759,407.40 = 323,946 : x
  2. Step 2: Convert to fraction form
    550,344.24/759,407.40 = 323,946/x
  3. Step 3: Cross multiply
    550,344.24x = 759,407.40 × 323,946
  4. Step 4: Simplify right side
    550,344.24x = 246,006,989,600.40
  5. Step 5: Solve for x
    x = 246,006,989,600.40/550,344.24
  6. Step 6: Final answer
    x = 447,005.66

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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.