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Finding the Fourth Proportional to 588,710.64, 883,197.64 and 214,733.64

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Solution

The fourth proportional to 588,710.64, 883,197.64 and 214,733.64 is: 322,148.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    588,710.64 : 883,197.64 = 214,733.64 : x
  2. Step 2: Convert to fraction form
    588,710.64/883,197.64 = 214,733.64/x
  3. Step 3: Cross multiply
    588,710.64x = 883,197.64 × 214,733.64
  4. Step 4: Simplify right side
    588,710.64x = 189,652,244,076.61
  5. Step 5: Solve for x
    x = 189,652,244,076.61/588,710.64
  6. Step 6: Final answer
    x = 322,148.49

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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.