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Finding the Fourth Proportional to 334,676.40, 502,403.40 and 201,706.80

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Solution

The fourth proportional to 334,676.40, 502,403.40 and 201,706.80 is: 302,794.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,676.40 : 502,403.40 = 201,706.80 : x
  2. Step 2: Convert to fraction form
    334,676.40/502,403.40 = 201,706.80/x
  3. Step 3: Cross multiply
    334,676.40x = 502,403.40 × 201,706.80
  4. Step 4: Simplify right side
    334,676.40x = 101,338,182,123.12
  5. Step 5: Solve for x
    x = 101,338,182,123.12/334,676.40
  6. Step 6: Final answer
    x = 302,794.53

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.