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Finding the Fourth Proportional to 200,597.11, 299,127.74 and 198,798.30

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Solution

The fourth proportional to 200,597.11, 299,127.74 and 198,798.30 is: 296,445.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,597.11 : 299,127.74 = 198,798.30 : x
  2. Step 2: Convert to fraction form
    200,597.11/299,127.74 = 198,798.30/x
  3. Step 3: Cross multiply
    200,597.11x = 299,127.74 × 198,798.30
  4. Step 4: Simplify right side
    200,597.11x = 59,466,085,200.85
  5. Step 5: Solve for x
    x = 59,466,085,200.85/200,597.11
  6. Step 6: Final answer
    x = 296,445.38

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.