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Finding the Fourth Proportional to 462,650.65, 638,454.29 and 258,701.96

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Solution

The fourth proportional to 462,650.65, 638,454.29 and 258,701.96 is: 357,006.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,650.65 : 638,454.29 = 258,701.96 : x
  2. Step 2: Convert to fraction form
    462,650.65/638,454.29 = 258,701.96/x
  3. Step 3: Cross multiply
    462,650.65x = 638,454.29 × 258,701.96
  4. Step 4: Simplify right side
    462,650.65x = 165,169,376,496.03
  5. Step 5: Solve for x
    x = 165,169,376,496.03/462,650.65
  6. Step 6: Final answer
    x = 357,006.69

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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.