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Finding the Fourth Proportional to 514,304.01, 771,579.12 and 214,617.84

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Solution

The fourth proportional to 514,304.01, 771,579.12 and 214,617.84 is: 321,978.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,304.01 : 771,579.12 = 214,617.84 : x
  2. Step 2: Convert to fraction form
    514,304.01/771,579.12 = 214,617.84/x
  3. Step 3: Cross multiply
    514,304.01x = 771,579.12 × 214,617.84
  4. Step 4: Simplify right side
    514,304.01x = 165,594,644,123.50
  5. Step 5: Solve for x
    x = 165,594,644,123.50/514,304.01
  6. Step 6: Final answer
    x = 321,978.13

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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.