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Finding the Fourth Proportional to 403,542.94, 556,755.96 and 260,398.12

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Solution

The fourth proportional to 403,542.94, 556,755.96 and 260,398.12 is: 359,263.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,542.94 : 556,755.96 = 260,398.12 : x
  2. Step 2: Convert to fraction form
    403,542.94/556,755.96 = 260,398.12/x
  3. Step 3: Cross multiply
    403,542.94x = 556,755.96 × 260,398.12
  4. Step 4: Simplify right side
    403,542.94x = 144,978,205,282.80
  5. Step 5: Solve for x
    x = 144,978,205,282.80/403,542.94
  6. Step 6: Final answer
    x = 359,263.39

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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.