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Finding the Fourth Proportional to 624,369.57, 861,045.26 and 414,446.22

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Solution

The fourth proportional to 624,369.57, 861,045.26 and 414,446.22 is: 571,547.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    624,369.57 : 861,045.26 = 414,446.22 : x
  2. Step 2: Convert to fraction form
    624,369.57/861,045.26 = 414,446.22/x
  3. Step 3: Cross multiply
    624,369.57x = 861,045.26 × 414,446.22
  4. Step 4: Simplify right side
    624,369.57x = 356,856,951,183.69
  5. Step 5: Solve for x
    x = 356,856,951,183.69/624,369.57
  6. Step 6: Final answer
    x = 571,547.64

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.