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Finding the Fourth Proportional to 308,826.42, 463,319.48 and 180,850.78

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Solution

The fourth proportional to 308,826.42, 463,319.48 and 180,850.78 is: 271,322.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,826.42 : 463,319.48 = 180,850.78 : x
  2. Step 2: Convert to fraction form
    308,826.42/463,319.48 = 180,850.78/x
  3. Step 3: Cross multiply
    308,826.42x = 463,319.48 × 180,850.78
  4. Step 4: Simplify right side
    308,826.42x = 83,791,689,347.19
  5. Step 5: Solve for x
    x = 83,791,689,347.19/308,826.42
  6. Step 6: Final answer
    x = 271,322.93

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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.