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Finding the Fourth Proportional to 465,646.30, 642,583.20 and 258,927.28

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Solution

The fourth proportional to 465,646.30, 642,583.20 and 258,927.28 is: 357,314.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,646.30 : 642,583.20 = 258,927.28 : x
  2. Step 2: Convert to fraction form
    465,646.30/642,583.20 = 258,927.28/x
  3. Step 3: Cross multiply
    465,646.30x = 642,583.20 × 258,927.28
  4. Step 4: Simplify right side
    465,646.30x = 166,382,320,149.70
  5. Step 5: Solve for x
    x = 166,382,320,149.70/465,646.30
  6. Step 6: Final answer
    x = 357,314.81

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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.