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Finding the Fourth Proportional to 410,655.39, 566,692.92 and 229,362

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Solution

The fourth proportional to 410,655.39, 566,692.92 and 229,362 is: 316,513.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,655.39 : 566,692.92 = 229,362 : x
  2. Step 2: Convert to fraction form
    410,655.39/566,692.92 = 229,362/x
  3. Step 3: Cross multiply
    410,655.39x = 566,692.92 × 229,362
  4. Step 4: Simplify right side
    410,655.39x = 129,977,821,517.04
  5. Step 5: Solve for x
    x = 129,977,821,517.04/410,655.39
  6. Step 6: Final answer
    x = 316,513.13

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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.