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Finding the Fourth Proportional to 538,692.52, 743,401.40 and 296,983.74

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Solution

The fourth proportional to 538,692.52, 743,401.40 and 296,983.74 is: 409,840.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,692.52 : 743,401.40 = 296,983.74 : x
  2. Step 2: Convert to fraction form
    538,692.52/743,401.40 = 296,983.74/x
  3. Step 3: Cross multiply
    538,692.52x = 743,401.40 × 296,983.74
  4. Step 4: Simplify right side
    538,692.52x = 220,778,130,124.29
  5. Step 5: Solve for x
    x = 220,778,130,124.29/538,692.52
  6. Step 6: Final answer
    x = 409,840.72

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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.