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Finding the Fourth Proportional to 461,777.10, 644,913.30 and 461,777.10

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Solution

The fourth proportional to 461,777.10, 644,913.30 and 461,777.10 is: 644,913.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,777.10 : 644,913.30 = 461,777.10 : x
  2. Step 2: Convert to fraction form
    461,777.10/644,913.30 = 461,777.10/x
  3. Step 3: Cross multiply
    461,777.10x = 644,913.30 × 461,777.10
  4. Step 4: Simplify right side
    461,777.10x = 297,806,193,425.43
  5. Step 5: Solve for x
    x = 297,806,193,425.43/461,777.10
  6. Step 6: Final answer
    x = 644,913.30

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1.5x scale

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.