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Finding the Fourth Proportional to 462,882.72, 638,748.02 and 258,898.30

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Solution

The fourth proportional to 462,882.72, 638,748.02 and 258,898.30 is: 357,262.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,882.72 : 638,748.02 = 258,898.30 : x
  2. Step 2: Convert to fraction form
    462,882.72/638,748.02 = 258,898.30/x
  3. Step 3: Cross multiply
    462,882.72x = 638,748.02 × 258,898.30
  4. Step 4: Simplify right side
    462,882.72x = 165,370,776,506.37
  5. Step 5: Solve for x
    x = 165,370,776,506.37/462,882.72
  6. Step 6: Final answer
    x = 357,262.80

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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.