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Finding the Fourth Proportional to 316,414.60, 474,955.44 and 309,274.06

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Solution

The fourth proportional to 316,414.60, 474,955.44 and 309,274.06 is: 464,237.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,414.60 : 474,955.44 = 309,274.06 : x
  2. Step 2: Convert to fraction form
    316,414.60/474,955.44 = 309,274.06/x
  3. Step 3: Cross multiply
    316,414.60x = 474,955.44 × 309,274.06
  4. Step 4: Simplify right side
    316,414.60x = 146,891,397,247.89
  5. Step 5: Solve for x
    x = 146,891,397,247.89/316,414.60
  6. Step 6: Final answer
    x = 464,237.10

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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.