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Finding the Fourth Proportional to 294,841.82, 442,492.37 and 205,513.81

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Solution

The fourth proportional to 294,841.82, 442,492.37 and 205,513.81 is: 308,430.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,841.82 : 442,492.37 = 205,513.81 : x
  2. Step 2: Convert to fraction form
    294,841.82/442,492.37 = 205,513.81/x
  3. Step 3: Cross multiply
    294,841.82x = 442,492.37 × 205,513.81
  4. Step 4: Simplify right side
    294,841.82x = 90,938,292,854.63
  5. Step 5: Solve for x
    x = 90,938,292,854.63/294,841.82
  6. Step 6: Final answer
    x = 308,430.78

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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.