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Finding the Fourth Proportional to 461,805.10, 644,952.50 and 461,805.10

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Solution

The fourth proportional to 461,805.10, 644,952.50 and 461,805.10 is: 644,952.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,805.10 : 644,952.50 = 461,805.10 : x
  2. Step 2: Convert to fraction form
    461,805.10/644,952.50 = 461,805.10/x
  3. Step 3: Cross multiply
    461,805.10x = 644,952.50 × 461,805.10
  4. Step 4: Simplify right side
    461,805.10x = 297,842,353,757.75
  5. Step 5: Solve for x
    x = 297,842,353,757.75/461,805.10
  6. Step 6: Final answer
    x = 644,952.50

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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.