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Finding the Fourth Proportional to 360,852.42, 497,969.42 and 199,707.54

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Solution

The fourth proportional to 360,852.42, 497,969.42 and 199,707.54 is: 275,592.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,852.42 : 497,969.42 = 199,707.54 : x
  2. Step 2: Convert to fraction form
    360,852.42/497,969.42 = 199,707.54/x
  3. Step 3: Cross multiply
    360,852.42x = 497,969.42 × 199,707.54
  4. Step 4: Simplify right side
    360,852.42x = 99,448,247,863.43
  5. Step 5: Solve for x
    x = 99,448,247,863.43/360,852.42
  6. Step 6: Final answer
    x = 275,592.58

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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.