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Finding the Fourth Proportional to 462,355.56, 637,986.24 and 258,380.64

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Solution

The fourth proportional to 462,355.56, 637,986.24 and 258,380.64 is: 356,529.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,355.56 : 637,986.24 = 258,380.64 : x
  2. Step 2: Convert to fraction form
    462,355.56/637,986.24 = 258,380.64/x
  3. Step 3: Cross multiply
    462,355.56x = 637,986.24 × 258,380.64
  4. Step 4: Simplify right side
    462,355.56x = 164,843,293,002.39
  5. Step 5: Solve for x
    x = 164,843,293,002.39/462,355.56
  6. Step 6: Final answer
    x = 356,529.28

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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.