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Finding the Fourth Proportional to 462,089.98, 637,677.13 and 258,143.82

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Solution

The fourth proportional to 462,089.98, 637,677.13 and 258,143.82 is: 356,234.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,089.98 : 637,677.13 = 258,143.82 : x
  2. Step 2: Convert to fraction form
    462,089.98/637,677.13 = 258,143.82/x
  3. Step 3: Cross multiply
    462,089.98x = 637,677.13 × 258,143.82
  4. Step 4: Simplify right side
    462,089.98x = 164,612,410,264.84
  5. Step 5: Solve for x
    x = 164,612,410,264.84/462,089.98
  6. Step 6: Final answer
    x = 356,234.54

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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.