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Finding the Fourth Proportional to 360,946.85, 498,100.59 and 199,798.43

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Solution

The fourth proportional to 360,946.85, 498,100.59 and 199,798.43 is: 275,718.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,946.85 : 498,100.59 = 199,798.43 : x
  2. Step 2: Convert to fraction form
    360,946.85/498,100.59 = 199,798.43/x
  3. Step 3: Cross multiply
    360,946.85x = 498,100.59 × 199,798.43
  4. Step 4: Simplify right side
    360,946.85x = 99,519,713,373.57
  5. Step 5: Solve for x
    x = 99,519,713,373.57/360,946.85
  6. Step 6: Final answer
    x = 275,718.47

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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.