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Finding the Fourth Proportional to 566,200, 849,431.22 and 192,223

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Solution

The fourth proportional to 566,200, 849,431.22 and 192,223 is: 288,379.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    566,200 : 849,431.22 = 192,223 : x
  2. Step 2: Convert to fraction form
    566,200/849,431.22 = 192,223/x
  3. Step 3: Cross multiply
    566,200x = 849,431.22 × 192,223
  4. Step 4: Simplify right side
    566,200x = 163,280,217,402.06
  5. Step 5: Solve for x
    x = 163,280,217,402.06/566,200
  6. Step 6: Final answer
    x = 288,379.05

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.