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Finding the Fourth Proportional to 462,700.22, 638,521.92 and 258,748.80

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Solution

The fourth proportional to 462,700.22, 638,521.92 and 258,748.80 is: 357,070.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,700.22 : 638,521.92 = 258,748.80 : x
  2. Step 2: Convert to fraction form
    462,700.22/638,521.92 = 258,748.80/x
  3. Step 3: Cross multiply
    462,700.22x = 638,521.92 × 258,748.80
  4. Step 4: Simplify right side
    462,700.22x = 165,216,780,573.70
  5. Step 5: Solve for x
    x = 165,216,780,573.70/462,700.22
  6. Step 6: Final answer
    x = 357,070.89

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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.