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Finding the Fourth Proportional to 406,566, 561,045.96 and 234,491.09

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Solution

The fourth proportional to 406,566, 561,045.96 and 234,491.09 is: 323,588.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,566 : 561,045.96 = 234,491.09 : x
  2. Step 2: Convert to fraction form
    406,566/561,045.96 = 234,491.09/x
  3. Step 3: Cross multiply
    406,566x = 561,045.96 × 234,491.09
  4. Step 4: Simplify right side
    406,566x = 131,560,275,895.27
  5. Step 5: Solve for x
    x = 131,560,275,895.27/406,566
  6. Step 6: Final answer
    x = 323,588.98

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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.