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Finding the Fourth Proportional to 497,204.34, 686,123.85 and 303,935.74

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Solution

The fourth proportional to 497,204.34, 686,123.85 and 303,935.74 is: 419,420.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,204.34 : 686,123.85 = 303,935.74 : x
  2. Step 2: Convert to fraction form
    497,204.34/686,123.85 = 303,935.74/x
  3. Step 3: Cross multiply
    497,204.34x = 686,123.85 × 303,935.74
  4. Step 4: Simplify right side
    497,204.34x = 208,537,560,081.40
  5. Step 5: Solve for x
    x = 208,537,560,081.40/497,204.34
  6. Step 6: Final answer
    x = 419,420.23

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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.