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Finding the Fourth Proportional to 559,158.58, 771,611.43 and 317,408.82

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Solution

The fourth proportional to 559,158.58, 771,611.43 and 317,408.82 is: 438,008.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    559,158.58 : 771,611.43 = 317,408.82 : x
  2. Step 2: Convert to fraction form
    559,158.58/771,611.43 = 317,408.82/x
  3. Step 3: Cross multiply
    559,158.58x = 771,611.43 × 317,408.82
  4. Step 4: Simplify right side
    559,158.58x = 244,916,273,494.81
  5. Step 5: Solve for x
    x = 244,916,273,494.81/559,158.58
  6. Step 6: Final answer
    x = 438,008.61

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.