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Finding the Fourth Proportional to 460,755.96, 635,816.70 and 256,800.12

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Solution

The fourth proportional to 460,755.96, 635,816.70 and 256,800.12 is: 354,369.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,755.96 : 635,816.70 = 256,800.12 : x
  2. Step 2: Convert to fraction form
    460,755.96/635,816.70 = 256,800.12/x
  3. Step 3: Cross multiply
    460,755.96x = 635,816.70 × 256,800.12
  4. Step 4: Simplify right side
    460,755.96x = 163,277,804,858.00
  5. Step 5: Solve for x
    x = 163,277,804,858.00/460,755.96
  6. Step 6: Final answer
    x = 354,369.38

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1.5x scale

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.