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Finding the Fourth Proportional to 460,648, 635,713.98 and 256,699.20

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Solution

The fourth proportional to 460,648, 635,713.98 and 256,699.20 is: 354,255.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,648 : 635,713.98 = 256,699.20 : x
  2. Step 2: Convert to fraction form
    460,648/635,713.98 = 256,699.20/x
  3. Step 3: Cross multiply
    460,648x = 635,713.98 × 256,699.20
  4. Step 4: Simplify right side
    460,648x = 163,187,270,094.82
  5. Step 5: Solve for x
    x = 163,187,270,094.82/460,648
  6. Step 6: Final answer
    x = 354,255.90

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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.