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Finding the Fourth Proportional to 316,400.40, 474,462.12 and 94,732.56

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Solution

The fourth proportional to 316,400.40, 474,462.12 and 94,732.56 is: 142,057.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,400.40 : 474,462.12 = 94,732.56 : x
  2. Step 2: Convert to fraction form
    316,400.40/474,462.12 = 94,732.56/x
  3. Step 3: Cross multiply
    316,400.40x = 474,462.12 × 94,732.56
  4. Step 4: Simplify right side
    316,400.40x = 44,947,011,250.63
  5. Step 5: Solve for x
    x = 44,947,011,250.63/316,400.40
  6. Step 6: Final answer
    x = 142,057.38

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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.