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Finding the Fourth Proportional to 273,465.85, 409,482.74 and 219,873.01

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Solution

The fourth proportional to 273,465.85, 409,482.74 and 219,873.01 is: 329,233.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,465.85 : 409,482.74 = 219,873.01 : x
  2. Step 2: Convert to fraction form
    273,465.85/409,482.74 = 219,873.01/x
  3. Step 3: Cross multiply
    273,465.85x = 409,482.74 × 219,873.01
  4. Step 4: Simplify right side
    273,465.85x = 90,034,201,487.48
  5. Step 5: Solve for x
    x = 90,034,201,487.48/273,465.85
  6. Step 6: Final answer
    x = 329,233.80

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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.