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Finding the Fourth Proportional to 462,144.32, 637,751.04 and 258,182

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Solution

The fourth proportional to 462,144.32, 637,751.04 and 258,182 is: 356,286.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,144.32 : 637,751.04 = 258,182 : x
  2. Step 2: Convert to fraction form
    462,144.32/637,751.04 = 258,182/x
  3. Step 3: Cross multiply
    462,144.32x = 637,751.04 × 258,182
  4. Step 4: Simplify right side
    462,144.32x = 164,655,839,009.28
  5. Step 5: Solve for x
    x = 164,655,839,009.28/462,144.32
  6. Step 6: Final answer
    x = 356,286.62

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