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Finding the Fourth Proportional to 360,186.16, 497,055 and 199,052.40

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Solution

The fourth proportional to 360,186.16, 497,055 and 199,052.40 is: 274,691.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,186.16 : 497,055 = 199,052.40 : x
  2. Step 2: Convert to fraction form
    360,186.16/497,055 = 199,052.40/x
  3. Step 3: Cross multiply
    360,186.16x = 497,055 × 199,052.40
  4. Step 4: Simplify right side
    360,186.16x = 98,939,990,682
  5. Step 5: Solve for x
    x = 98,939,990,682/360,186.16
  6. Step 6: Final answer
    x = 274,691.26

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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.