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Finding the Fourth Proportional to 200,492.16, 276,048 and 170,217.60

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Solution

The fourth proportional to 200,492.16, 276,048 and 170,217.60 is: 234,364.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,492.16 : 276,048 = 170,217.60 : x
  2. Step 2: Convert to fraction form
    200,492.16/276,048 = 170,217.60/x
  3. Step 3: Cross multiply
    200,492.16x = 276,048 × 170,217.60
  4. Step 4: Simplify right side
    200,492.16x = 46,988,228,044.80
  5. Step 5: Solve for x
    x = 46,988,228,044.80/200,492.16
  6. Step 6: Final answer
    x = 234,364.42

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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.