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Finding the Fourth Proportional to 289,057.30, 403,747.10 and 289,057.30

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Solution

The fourth proportional to 289,057.30, 403,747.10 and 289,057.30 is: 403,747.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,057.30 : 403,747.10 = 289,057.30 : x
  2. Step 2: Convert to fraction form
    289,057.30/403,747.10 = 289,057.30/x
  3. Step 3: Cross multiply
    289,057.30x = 403,747.10 × 289,057.30
  4. Step 4: Simplify right side
    289,057.30x = 116,706,046,608.83
  5. Step 5: Solve for x
    x = 116,706,046,608.83/289,057.30
  6. Step 6: Final answer
    x = 403,747.10

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.