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Finding the Fourth Proportional to 462,089.60, 637,676.61 and 258,143.44

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Solution

The fourth proportional to 462,089.60, 637,676.61 and 258,143.44 is: 356,234.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,089.60 : 637,676.61 = 258,143.44 : x
  2. Step 2: Convert to fraction form
    462,089.60/637,676.61 = 258,143.44/x
  3. Step 3: Cross multiply
    462,089.60x = 637,676.61 × 258,143.44
  4. Step 4: Simplify right side
    462,089.60x = 164,612,033,712.94
  5. Step 5: Solve for x
    x = 164,612,033,712.94/462,089.60
  6. Step 6: Final answer
    x = 356,234.02

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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.