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Finding the Fourth Proportional to 497,204.09, 686,123.51 and 303,935.49

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Solution

The fourth proportional to 497,204.09, 686,123.51 and 303,935.49 is: 419,419.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,204.09 : 686,123.51 = 303,935.49 : x
  2. Step 2: Convert to fraction form
    497,204.09/686,123.51 = 303,935.49/x
  3. Step 3: Cross multiply
    497,204.09x = 686,123.51 × 303,935.49
  4. Step 4: Simplify right side
    497,204.09x = 208,537,283,692.69
  5. Step 5: Solve for x
    x = 208,537,283,692.69/497,204.09
  6. Step 6: Final answer
    x = 419,419.89

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1.5x scale

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.