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Finding the Fourth Proportional to 360,098.51, 496,941.16 and 198,957.27

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Solution

The fourth proportional to 360,098.51, 496,941.16 and 198,957.27 is: 274,563.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,098.51 : 496,941.16 = 198,957.27 : x
  2. Step 2: Convert to fraction form
    360,098.51/496,941.16 = 198,957.27/x
  3. Step 3: Cross multiply
    360,098.51x = 496,941.16 × 198,957.27
  4. Step 4: Simplify right side
    360,098.51x = 98,870,056,544.23
  5. Step 5: Solve for x
    x = 98,870,056,544.23/360,098.51
  6. Step 6: Final answer
    x = 274,563.91

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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.