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Finding the Fourth Proportional to 316,134.64, 474,201.42 and 147,598.48

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Solution

The fourth proportional to 316,134.64, 474,201.42 and 147,598.48 is: 221,397.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,134.64 : 474,201.42 = 147,598.48 : x
  2. Step 2: Convert to fraction form
    316,134.64/474,201.42 = 147,598.48/x
  3. Step 3: Cross multiply
    316,134.64x = 474,201.42 × 147,598.48
  4. Step 4: Simplify right side
    316,134.64x = 69,991,408,805.84
  5. Step 5: Solve for x
    x = 69,991,408,805.84/316,134.64
  6. Step 6: Final answer
    x = 221,397.47

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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.