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Finding the Fourth Proportional to 406,859.70, 561,471.50 and 234,813.40

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Solution

The fourth proportional to 406,859.70, 561,471.50 and 234,813.40 is: 324,045.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,859.70 : 561,471.50 = 234,813.40 : x
  2. Step 2: Convert to fraction form
    406,859.70/561,471.50 = 234,813.40/x
  3. Step 3: Cross multiply
    406,859.70x = 561,471.50 × 234,813.40
  4. Step 4: Simplify right side
    406,859.70x = 131,841,031,918.10
  5. Step 5: Solve for x
    x = 131,841,031,918.10/406,859.70
  6. Step 6: Final answer
    x = 324,045.44

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