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Finding the Fourth Proportional to 283,864.22, 425,314.32 and 171,307.94

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Solution

The fourth proportional to 283,864.22, 425,314.32 and 171,307.94 is: 256,671.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,864.22 : 425,314.32 = 171,307.94 : x
  2. Step 2: Convert to fraction form
    283,864.22/425,314.32 = 171,307.94/x
  3. Step 3: Cross multiply
    283,864.22x = 425,314.32 × 171,307.94
  4. Step 4: Simplify right side
    283,864.22x = 72,859,720,011.70
  5. Step 5: Solve for x
    x = 72,859,720,011.70/283,864.22
  6. Step 6: Final answer
    x = 256,671.02

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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.