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Finding the Fourth Proportional to 329,206.95, 493,810.43 and 92,549.63

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Solution

The fourth proportional to 329,206.95, 493,810.43 and 92,549.63 is: 138,824.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,206.95 : 493,810.43 = 92,549.63 : x
  2. Step 2: Convert to fraction form
    329,206.95/493,810.43 = 92,549.63/x
  3. Step 3: Cross multiply
    329,206.95x = 493,810.43 × 92,549.63
  4. Step 4: Simplify right side
    329,206.95x = 45,701,973,358.42
  5. Step 5: Solve for x
    x = 45,701,973,358.42/329,206.95
  6. Step 6: Final answer
    x = 138,824.45

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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.