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Finding the Fourth Proportional to 598,146.84, 825,516.90 and 343,492.56

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Solution

The fourth proportional to 598,146.84, 825,516.90 and 343,492.56 is: 474,062.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    598,146.84 : 825,516.90 = 343,492.56 : x
  2. Step 2: Convert to fraction form
    598,146.84/825,516.90 = 343,492.56/x
  3. Step 3: Cross multiply
    598,146.84x = 825,516.90 × 343,492.56
  4. Step 4: Simplify right side
    598,146.84x = 283,558,913,304.26
  5. Step 5: Solve for x
    x = 283,558,913,304.26/598,146.84
  6. Step 6: Final answer
    x = 474,062.38

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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.