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Finding the Fourth Proportional to 310,881.56, 466,205.70 and 100,463

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Solution

The fourth proportional to 310,881.56, 466,205.70 and 100,463 is: 150,656.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,881.56 : 466,205.70 = 100,463 : x
  2. Step 2: Convert to fraction form
    310,881.56/466,205.70 = 100,463/x
  3. Step 3: Cross multiply
    310,881.56x = 466,205.70 × 100,463
  4. Step 4: Simplify right side
    310,881.56x = 46,836,423,239.10
  5. Step 5: Solve for x
    x = 46,836,423,239.10/310,881.56
  6. Step 6: Final answer
    x = 150,656.81

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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.