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Finding the Fourth Proportional to 456,476.30, 684,714.45 and 344,939.30

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Solution

The fourth proportional to 456,476.30, 684,714.45 and 344,939.30 is: 517,408.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,476.30 : 684,714.45 = 344,939.30 : x
  2. Step 2: Convert to fraction form
    456,476.30/684,714.45 = 344,939.30/x
  3. Step 3: Cross multiply
    456,476.30x = 684,714.45 × 344,939.30
  4. Step 4: Simplify right side
    456,476.30x = 236,184,923,082.89
  5. Step 5: Solve for x
    x = 236,184,923,082.89/456,476.30
  6. Step 6: Final answer
    x = 517,408.95

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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.