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Finding the Fourth Proportional to 406,075.68, 609,712.31 and 226,511.94

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Solution

The fourth proportional to 406,075.68, 609,712.31 and 226,511.94 is: 340,101.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,075.68 : 609,712.31 = 226,511.94 : x
  2. Step 2: Convert to fraction form
    406,075.68/609,712.31 = 226,511.94/x
  3. Step 3: Cross multiply
    406,075.68x = 609,712.31 × 226,511.94
  4. Step 4: Simplify right side
    406,075.68x = 138,107,121,032.68
  5. Step 5: Solve for x
    x = 138,107,121,032.68/406,075.68
  6. Step 6: Final answer
    x = 340,101.93

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.