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Finding the Fourth Proportional to 461,453.10, 644,459.70 and 461,453.10

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Solution

The fourth proportional to 461,453.10, 644,459.70 and 461,453.10 is: 644,459.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,453.10 : 644,459.70 = 461,453.10 : x
  2. Step 2: Convert to fraction form
    461,453.10/644,459.70 = 461,453.10/x
  3. Step 3: Cross multiply
    461,453.10x = 644,459.70 × 461,453.10
  4. Step 4: Simplify right side
    461,453.10x = 297,387,926,390.07
  5. Step 5: Solve for x
    x = 297,387,926,390.07/461,453.10
  6. Step 6: Final answer
    x = 644,459.70

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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.