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Finding the Fourth Proportional to 462,653.32, 638,457.97 and 258,704.63

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Solution

The fourth proportional to 462,653.32, 638,457.97 and 258,704.63 is: 357,010.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,653.32 : 638,457.97 = 258,704.63 : x
  2. Step 2: Convert to fraction form
    462,653.32/638,457.97 = 258,704.63/x
  3. Step 3: Cross multiply
    462,653.32x = 638,457.97 × 258,704.63
  4. Step 4: Simplify right side
    462,653.32x = 165,172,036,258.57
  5. Step 5: Solve for x
    x = 165,172,036,258.57/462,653.32
  6. Step 6: Final answer
    x = 357,010.38

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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.