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Finding the Fourth Proportional to 466,146.82, 698,733.96 and 316,398.88

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Solution

The fourth proportional to 466,146.82, 698,733.96 and 316,398.88 is: 474,268.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    466,146.82 : 698,733.96 = 316,398.88 : x
  2. Step 2: Convert to fraction form
    466,146.82/698,733.96 = 316,398.88/x
  3. Step 3: Cross multiply
    466,146.82x = 698,733.96 × 316,398.88
  4. Step 4: Simplify right side
    466,146.82x = 221,078,642,361.97
  5. Step 5: Solve for x
    x = 221,078,642,361.97/466,146.82
  6. Step 6: Final answer
    x = 474,268.26

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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.