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Finding the Fourth Proportional to 360,804.16, 497,902.28 and 199,659.10

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Solution

The fourth proportional to 360,804.16, 497,902.28 and 199,659.10 is: 275,525.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,804.16 : 497,902.28 = 199,659.10 : x
  2. Step 2: Convert to fraction form
    360,804.16/497,902.28 = 199,659.10/x
  3. Step 3: Cross multiply
    360,804.16x = 497,902.28 × 199,659.10
  4. Step 4: Simplify right side
    360,804.16x = 99,410,721,112.75
  5. Step 5: Solve for x
    x = 99,410,721,112.75/360,804.16
  6. Step 6: Final answer
    x = 275,525.43

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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.