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Finding the Fourth Proportional to 396,953.40, 596,196.06 and 340,156.14

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Solution

The fourth proportional to 396,953.40, 596,196.06 and 340,156.14 is: 510,890.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,953.40 : 596,196.06 = 340,156.14 : x
  2. Step 2: Convert to fraction form
    396,953.40/596,196.06 = 340,156.14/x
  3. Step 3: Cross multiply
    396,953.40x = 596,196.06 × 340,156.14
  4. Step 4: Simplify right side
    396,953.40x = 202,799,750,452.81
  5. Step 5: Solve for x
    x = 202,799,750,452.81/396,953.40
  6. Step 6: Final answer
    x = 510,890.57

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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.