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Finding the Fourth Proportional to 457,714.17, 686,090.64 and 154,002.89

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Solution

The fourth proportional to 457,714.17, 686,090.64 and 154,002.89 is: 230,842.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,714.17 : 686,090.64 = 154,002.89 : x
  2. Step 2: Convert to fraction form
    457,714.17/686,090.64 = 154,002.89/x
  3. Step 3: Cross multiply
    457,714.17x = 686,090.64 × 154,002.89
  4. Step 4: Simplify right side
    457,714.17x = 105,659,941,361.95
  5. Step 5: Solve for x
    x = 105,659,941,361.95/457,714.17
  6. Step 6: Final answer
    x = 230,842.63

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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.