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Finding the Fourth Proportional to 360,207, 497,095.58 and 199,072.49

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Solution

The fourth proportional to 360,207, 497,095.58 and 199,072.49 is: 274,725.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,207 : 497,095.58 = 199,072.49 : x
  2. Step 2: Convert to fraction form
    360,207/497,095.58 = 199,072.49/x
  3. Step 3: Cross multiply
    360,207x = 497,095.58 × 199,072.49
  4. Step 4: Simplify right side
    360,207x = 98,958,052,890.80
  5. Step 5: Solve for x
    x = 98,958,052,890.80/360,207
  6. Step 6: Final answer
    x = 274,725.51

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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.