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Finding the Fourth Proportional to 588,814.60, 883,221.90 and 214,983.40

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Solution

The fourth proportional to 588,814.60, 883,221.90 and 214,983.40 is: 322,475.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    588,814.60 : 883,221.90 = 214,983.40 : x
  2. Step 2: Convert to fraction form
    588,814.60/883,221.90 = 214,983.40/x
  3. Step 3: Cross multiply
    588,814.60x = 883,221.90 × 214,983.40
  4. Step 4: Simplify right side
    588,814.60x = 189,878,047,016.46
  5. Step 5: Solve for x
    x = 189,878,047,016.46/588,814.60
  6. Step 6: Final answer
    x = 322,475.10

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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.