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Finding the Fourth Proportional to 349,409.34, 482,184.72 and 198,506.34

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Solution

The fourth proportional to 349,409.34, 482,184.72 and 198,506.34 is: 273,938.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,409.34 : 482,184.72 = 198,506.34 : x
  2. Step 2: Convert to fraction form
    349,409.34/482,184.72 = 198,506.34/x
  3. Step 3: Cross multiply
    349,409.34x = 482,184.72 × 198,506.34
  4. Step 4: Simplify right side
    349,409.34x = 95,716,723,971.12
  5. Step 5: Solve for x
    x = 95,716,723,971.12/349,409.34
  6. Step 6: Final answer
    x = 273,938.65

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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.