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Finding the Fourth Proportional to 273,186.30, 409,779.45 and 223,322.70

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Solution

The fourth proportional to 273,186.30, 409,779.45 and 223,322.70 is: 334,984.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,186.30 : 409,779.45 = 223,322.70 : x
  2. Step 2: Convert to fraction form
    273,186.30/409,779.45 = 223,322.70/x
  3. Step 3: Cross multiply
    273,186.30x = 409,779.45 × 223,322.70
  4. Step 4: Simplify right side
    273,186.30x = 91,513,053,178.52
  5. Step 5: Solve for x
    x = 91,513,053,178.52/273,186.30
  6. Step 6: Final answer
    x = 334,984.05

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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.